# Solve for x 10/x=35/(x-5)

10x=35x-5
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
10⋅(x-5)=x⋅35
Solve the equation for x.
Simplify 10⋅(x-5).
Apply the distributive property.
10x+10⋅-5=x⋅35
Multiply 10 by -5.
10x-50=x⋅35
10x-50=x⋅35
Move 35 to the left of x.
10x-50=35x
Move all terms containing x to the left side of the equation.
Subtract 35x from both sides of the equation.
10x-50-35x=0
Subtract 35x from 10x.
-25x-50=0
-25x-50=0
Add 50 to both sides of the equation.
-25x=50
Divide each term by -25 and simplify.
Divide each term in -25x=50 by -25.
-25x-25=50-25
Cancel the common factor of -25.
Cancel the common factor.
-25x-25=50-25
Divide x by 1.
x=50-25
x=50-25
Divide 50 by -25.
x=-2
x=-2
x=-2
Solve for x 10/x=35/(x-5)