What is the answer to (7x-4)/(5x+2)-2=10 ?

The answer to (7x-4)/(5x+2)-2=10 is x=-28/53

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(7x-4)/(5x+2)-2=10

\frac{7 x - 4}{5 x + 2} - 2 = 10

x = - \frac{28}{53}

Solution steps

\frac{7 x - 4}{5 x + 2} - 2 = 10

Move

2

to the right side

\frac{7 x - 4}{5 x + 2} = 12

Multiply both sides by

5 x + 2

7 x - 4 = 12 (5 x + 2)

Expand

12 (5 x + 2) : 60 x + 24

7 x - 4 = 60 x + 24

Move

4

to the right side

7 x = 60 x + 28

Move

60 x

to the left side

- 53 x = 28

Divide both sides by

- 53

x = - \frac{28}{53}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{2}{5}

Combine undefined points with solutions:

x = - \frac{28}{53}

\frac{96}{b} = 16

\frac{1}{y - 1} = \frac{2}{y - 2}

\frac{2}{x ^{2}} = 0

\frac{80}{X} - \frac{80}{X + 6} = 3

3 y^{- 2} + y^{- 1} - 4 = 0

What is the answer to (7x-4)/(5x+2)-2=10 ?
The answer to (7x-4)/(5x+2)-2=10 is x=-28/53
Solve for x: (7x-4)/(5x+2)-2=10
The solution is x=-28/53