What is the answer to (2x-1)/(x+2)= 6/5 ?

The answer to (2x-1)/(x+2)= 6/5 is x= 17/4

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(2x-1)/(x+2)= 6/5

\frac{2 x - 1}{x + 2} = \frac{6}{5}

x = \frac{17}{4}

Solution steps

\frac{2 x - 1}{x + 2} = \frac{6}{5}

Cross multiply

10 x - 5 = 6 x + 12

Move

5

to the right side

10 x = 6 x + 17

Move

6 x

to the left side

4 x = 17

Divide both sides by

4

x = \frac{17}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{17}{4}

4 + (\frac{1}{x} - 2) = 20

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

x = \frac{1}{x ^{2}}

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

F = G (\frac{m ^{1} m ^{2}}{d ^{2}})

What is the answer to (2x-1)/(x+2)= 6/5 ?
The answer to (2x-1)/(x+2)= 6/5 is x= 17/4
Solve for x: (2x-1)/(x+2)= 6/5
The solution is x= 17/4