What is the answer to (10x-10)/(x-1)+12=x+8 ?

The answer to (10x-10)/(x-1)+12=x+8 is x=14

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(10x-10)/(x-1)+12=x+8

\frac{10 x - 10}{x - 1} + 12 = x + 8

x = 14

Solution steps

\frac{10 x - 10}{x - 1} + 12 = x + 8

Move

12

to the right side

\frac{10 x - 10}{x - 1} = x - 4

Simplify

\frac{10 x - 10}{x - 1} : 10

10 = x - 4

Switch sides

x - 4 = 10

Move

4

to the right side

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 14

2 + \frac{7}{a - 7} = \frac{a}{a - 7}

\frac{2}{x} - 4 = - 8 x

(x + 5) (\frac{100}{x} - 1) = 100

x^{- n - 1} = \frac{1}{x ^{n + 1}}

a, x = \frac{b}{2 a}

What is the answer to (10x-10)/(x-1)+12=x+8 ?
The answer to (10x-10)/(x-1)+12=x+8 is x=14
Solve for x: (10x-10)/(x-1)+12=x+8
The solution is x=14