What is the answer to (15)/(8x-3)= 1/(2+2x) ?

The answer to (15)/(8x-3)= 1/(2+2x) is x=-3/2

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(15)/(8x-3)= 1/(2+2x)

\frac{15}{8 x - 3} = \frac{1}{2 + 2 x}

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

\frac{15}{8 x - 3} = \frac{1}{2 + 2 x}

Cross multiply

30 + 30 x = 8 x - 3

Move

30

to the right side

30 x = 8 x - 33

Move

8 x

to the left side

22 x = - 33

Divide both sides by

22

x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{8}, x = - 1

Combine undefined points with solutions:

x = - \frac{3}{2}

a, \frac{m}{a} = n - p

\frac{x ^{2} - 9 x + 14}{4 x} = 0

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

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

\frac{1}{- 2} + \frac{3}{x + 3} = 0

What is the answer to (15)/(8x-3)= 1/(2+2x) ?
The answer to (15)/(8x-3)= 1/(2+2x) is x=-3/2
Solve for x: (15)/(8x-3)= 1/(2+2x)
The solution is x=-3/2