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

The answer to (2x-1)/(x+2)= 8/7 is x= 23/6

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(2x-1)/(x+2)= 8/7

\frac{2 x - 1}{x + 2} = \frac{8}{7}

x = \frac{23}{6}

Solution steps

\frac{2 x - 1}{x + 2} = \frac{8}{7}

Cross multiply

14 x - 7 = 8 x + 16

Move

7

to the right side

14 x = 8 x + 23

Move

8 x

to the left side

6 x = 23

Divide both sides by

6

x = \frac{23}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{23}{6}

\frac{1}{x - 9} - 1 = \frac{x}{x - 9}

- \frac{3}{4} = \frac{9}{x}

\frac{2 π}{b} = π

\frac{1 - 4 x}{3 x - 2} = \frac{2}{3}

\frac{3 x + 3}{x - 3} = 7

What is the answer to (2x-1)/(x+2)= 8/7 ?
The answer to (2x-1)/(x+2)= 8/7 is x= 23/6
Solve for x: (2x-1)/(x+2)= 8/7
The solution is x= 23/6