What is the answer to (17(2-x)-5(x+12))/(1-7x)=8 ?

The answer to (17(2-x)-5(x+12))/(1-7x)=8 is x=1

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(17(2-x)-5(x+12))/(1-7x)=8

\frac{17 ( 2 - x ) - 5 ( x + 12 )}{1 - 7 x} = 8

x = 1

Solution steps

\frac{17 ( 2 - x ) - 5 ( x + 12 )}{1 - 7 x} = 8

Simplify

\frac{17 ( 2 - x ) - 5 ( x + 12 )}{1 - 7 x} : \frac{- 22 x - 26}{1 - 7 x}

\frac{- 22 x - 26}{1 - 7 x} = 8

Multiply both sides by

1 - 7 x

- 22 x - 26 = 8 (1 - 7 x)

Expand

8 (1 - 7 x) : 8 - 56 x

- 22 x - 26 = 8 - 56 x

Move

26

to the right side

- 22 x = - 56 x + 34

Move

56 x

to the left side

34 x = 34

Divide both sides by

34

x = 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{7}

Combine undefined points with solutions:

x = 1

\frac{2 + x}{( x + 1 )} = 1 + 3

\frac{14}{( n + 7 )} = \frac{10}{( n - 4 )}

1.8 = \frac{x}{( 1 - x ) \cdot 55.5}

\frac{- 1.2}{x + 7} = 7.24

[- x^{- 2} + 9 (8 - x)^{- 2}] = 0

What is the answer to (17(2-x)-5(x+12))/(1-7x)=8 ?
The answer to (17(2-x)-5(x+12))/(1-7x)=8 is x=1
Solve for x: (17(2-x)-5(x+12))/(1-7x)=8
The solution is x=1