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

3x-5x-6-9x-6x-6=1-6xx-6
Simplify 3x-5x-6-9x-6x-6.
Combine the numerators over the common denominator.
3x-5-(9x-6)x-6=1-6xx-6
Simplify the numerator.
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
-6x+1x-6=1-6xx-6
-6x+1x-6=1-6xx-6
Simplify with factoring out.
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.
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.
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Solve Graphically (3x-5)/(x-6)-(9x-6)/(x-6)=(1-6x)/(x-6)