What is the answer to (2x-3)/(x+1)= 2/5 ?

The answer to (2x-3)/(x+1)= 2/5 is x= 17/8

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(2x-3)/(x+1)= 2/5

\frac{2 x - 3}{x + 1} = \frac{2}{5}

x = \frac{17}{8}

Decimal Notation

x = 2.125

Solution steps

\frac{2 x - 3}{x + 1} = \frac{2}{5}

Cross multiply

10 x - 15 = 2 x + 2

Move

15

to the right side

10 x = 2 x + 17

Move

2 x

to the left side

8 x = 17

Divide both sides by

8

x = \frac{17}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{17}{8}

\frac{12}{x} = 0

\frac{12}{x} = 4

\frac{4}{t - 3} = \frac{6}{t + 3}

\frac{1}{x + 3} = 0

h, r + \frac{3 Q}{h} = t

What is the answer to (2x-3)/(x+1)= 2/5 ?
The answer to (2x-3)/(x+1)= 2/5 is x= 17/8
Solve for x: (2x-3)/(x+1)= 2/5
The solution is x= 17/8