Solve Graphically (3x-5)/(x-6)-(9x-6)/(x-6)=(1-6x)/(x-6)

Math
3x-5x-6-9x-6x-6=1-6xx-6
Simplify 3x-5x-6-9x-6x-6.
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Combine the numerators over the common denominator.
3x-5-(9x-6)x-6=1-6xx-6
Simplify the numerator.
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Apply the distributive property.
3x-5-(9x)–6x-6=1-6xx-6
Multiply 9 by -1.
3x-5-9x–6x-6=1-6xx-6
Multiply -1 by -6.
3x-5-9x+6x-6=1-6xx-6
Subtract 9x from 3x.
-6x-5+6x-6=1-6xx-6
Add -5 and 6.
-6x+1x-6=1-6xx-6
-6x+1x-6=1-6xx-6
Simplify with factoring out.
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Factor -1 out of -6x.
-(6x)+1x-6=1-6xx-6
Rewrite 1 as -1(-1).
-(6x)-1(-1)x-6=1-6xx-6
Factor -1 out of -(6x)-1(-1).
-(6x-1)x-6=1-6xx-6
Simplify the expression.
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Rewrite -(6x-1) as -1(6x-1).
-1(6x-1)x-6=1-6xx-6
Move the negative in front of the fraction.
-6x-1x-6=1-6xx-6
-6x-1x-6=1-6xx-6
-6x-1x-6=1-6xx-6
-6x-1x-6=1-6xx-6
Graph each side of the equation. The solution is the x-value of the point of intersection.
x≈-49.8,-49.7,-49.6,-49.3,-49.2,-49.1,-48.9,-48.8,-48.7,-48.6,-48.5,-48.4,-48.3,-48.2,-48.1,-48,-47.9,-47.7,-47.6,-47.5,-47.1,-47,-46.9,-46.7,-46.6,-46.5,-46.39‾,-46.29‾,-46.19‾,-46.09‾,-46,-45.89‾,-45.79‾,-45.69‾,-45.59‾,-45.49‾,-45.39‾,-45.29‾,-45.09‾,-45,-44.69‾,-44.49‾,-44.39‾,-44.19‾,-44.09‾,-44,-43.89‾,-43.49‾,-43.39‾,-43.29‾,-43,-42.89‾,-42.79‾,-42.69‾,-42.59‾,-42.49‾,-42.39‾,-42.19‾,-42,-41.89‾,-41.79‾,-41.49‾,-41.39‾,-41.29‾,-41.19‾,-41.09‾,-41,-40.89‾,-40.79‾,-40.69‾,-40.19‾,-40,-39.69‾,-39.59‾,-39.39‾,-39.29‾,-39.09‾,-38.89‾,-38.79‾,-38.69‾,-38.59‾,-38.39‾,-38.29‾,-38.19‾,-38.09‾,-38,-37.89‾,-37.79‾,-37.59‾,-37.49‾,-37.19‾,-37,-36.89‾,-36.79‾,-36.69‾,-36.59‾,-36.39‾,-36.29‾,-36.19‾,-36.09‾,-36,-35.89‾,-35.79‾,-35.69‾,-35.59‾,-35.39‾,-35.29‾,-35.19‾,-35.09‾,-34.89‾,-34.79‾,-34.69‾,-34.49‾,-34.39‾,-34.29‾,-34.19‾,-34.09‾,-33.89‾,-33.79‾,-33.69‾,-33.59‾,-33.39‾,-33.29‾,-33.09‾,-33,-32.89‾,-32.79‾,-32.69‾,-32.59‾,-32.39‾,-32.19‾,-32,-31.89‾,-31.79‾,-31.69‾,-31.59‾,-31.49‾,-31.39‾,-31.29‾,-31.19‾,-31,-30.89‾,-30.79‾,-30.69‾,-30.59‾,-30.39‾,-30.29‾,-30.19‾,-30.09‾,-30,-29.89‾,-29.79‾,-29.69‾,-29.49‾,-29.39‾,-29.29‾,-29.19‾,-29,-28.89‾,-28.79‾,-28.69‾,-28.49‾,-28.39‾,-28.29‾,-28.09‾,-28,-27.89‾,-27.79‾,-27.69‾,-27.59‾,-27.49‾,-27.39‾,-27.29‾,-27.19‾,-27.09‾,-27,-26.89‾,-26.79‾,-26.69‾,-26.49‾,-26.39‾,-26.29‾,-26.19‾,-26.09‾,-26,-25.89‾,-25.59‾,-25.49‾,-25.39‾,-25.29‾,-25.19‾,-25,-24.79‾,-24.69‾,-24.59‾,-24.49‾,-24.09‾,-24,-23.69‾,-23.39‾,-23.19‾,-23.09‾,-22.89‾,-22.79‾,-22.39‾,-22.29‾,-22.19‾,-22.09‾,-22,-21.89‾,-21.79‾,-21.39‾,-21.29‾,-21.19‾,-21,-20.79‾,-20.49‾,-20.19‾,-20.09‾,-20,-19.89‾,-19.79‾,-19.69‾,-19.59‾,-19.49‾,-19.29‾,-19.09‾,-18.89‾,-18.69‾,-18.49‾,-18.39‾,-18.09‾,-18,-17.59‾,-352,-17.29‾,-17.09‾,-16.79‾,-16.69‾,-16.59‾,-332,-16.29‾,-16.19‾,-16.09‾,-15.89‾,-15.69‾,-312,-15.29‾,-15.09‾,-14.89‾,-14.69‾,-292,-14.29‾,-14.19‾,-14.09‾,-14,-13.59‾,-272,-13.39‾,-13.19‾,-13,-12.89‾,-12.69‾,-252,-625,-12.29‾,-12.19‾,-12.09‾,-12,-11.69‾,-232,-11.09‾,-11,-545,-535,-515,-10.09‾,-495,-9.7,-192,-9.3,-465,-9.1,-9,-445,-8.7,-435,-172,-425,-8.3,-415,-8.1,-8,-7.9,-385,-152,-375,-7.1,-345,-335,-6.3,-6.1,-6,-295,-5.7,-112,-275,-265,-5.1,-5,-4.9,-4.7,-235,-92,-215,-4,-3.9,-3.7,-72,-165,-3.1,-2.9,-2.7,-135,-52,-125,-2.3,-115,-2.1,-2,-1.7,-85,-32,-65,-1.1,-0.9,-45,-0.7,-35,-12,-25,0,0.1,15,0.3,25,12,35,0.7,45,65,1.3,75,32,1.7,95,1.9,2,115,2.3,52,145,2.9,3,165,72,3.7,195,4,4.1,4.3,92,4.7,245,5.1,275,112,285,295,5.9,6,6.1,6.3,325,132,335,6.7,345,6.9,7,7.1,365,7.3,375,152,385,7.7,7.9,8,415,8.3,425,172,8.7,445,9,465,9.3,475,192,9.7,9.9,515,10.3,525,212,535,10.7,545,10.9,565,11.3,232,595,11.9,12,12.1,12.2,12.3,625,252,12.8,12.9,13,13.3,13.4,272,13.6,13.7,13.8,13.9,14,14.1,14.4,14.6,14.7,14.9,15,15.1,15.2,15.3,312,15.6,15.7,16,16.1,16.2,16.3,17,17.1,17.4,352,17.6,17.7,17.9,18,18.1,18.2,18.3,18.5,18.6,18.7,18.8,18.9,19.1,19.4,19.8,20.1,20.3,20.6,20.7,20.9,21,21.1,21.2,21.5,21.7,22.1,22.2,22.4,22.6,22.8,22.9,23.1,23.3,23.6,23.7,23.9,24,24.2,24.3,24.6,24.8,24.9,25,25.1,25.2,25.4,25.6,25.8,25.9,26,26.1,26.3,26.7,26.8,27,27.1,27.2,27.4,27.5,27.7,27.8,27.9,28.2,28.4,28.7,28.9,29.1,29.3,29.4,29.5,29.7,29.8,29.9,30.1,30.3,30.5,30.8,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,32.2,32.3,32.5,32.9,33.2,33.4,33.5,33.7,33.8,33.9,34,34.1,34.3,34.4,34.5,34.6,34.8,34.9,35,35.1,35.2,35.3,35.4,35.5,35.6,35.8,35.9,36.1,36.2,36.3,36.4,36.5,36.6,36.8,36.9,37.3,37.4,37.5,37.6,37.8,37.9,38,38.1,38.3,38.4,38.6,38.8,38.9,39,39.1,39.3,39.4,39.5,39.7,39.8,39.9,40,40.1,40.3,40.4,40.5,40.6,40.9,41,41.1,41.3,41.4,41.5,41.6,41.7,41.9,42.1,42.2,42.3,42.4,42.5,42.7,42.8,42.9,43,43.1,43.2,43.3,43.4,43.6,43.7,43.8,43.9,44,44.2,44.3,44.4,44.5,44.6,44.7,44.8,44.9,45,45.2,45.3,45.4,45.7,45.8,45.9,46.1,46.2,46.3,46.4,46.5,46.6,46.9,47,47.3,47.4,47.5,47.6,47.8,47.9,48,48.2,48.3,48.4,48.5,48.6,48.7,48.9,49,49.1,49.5,49.6,49.7,49.8,49.9
Solve Graphically (3x-5)/(x-6)-(9x-6)/(x-6)=(1-6x)/(x-6)

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