What is the answer to (2x)/(3x+6)= 3/2 ?

The answer to (2x)/(3x+6)= 3/2 is x=-18/5

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(2x)/(3x+6)= 3/2

\frac{2 x}{3 x + 6} = \frac{3}{2}

x = - \frac{18}{5}

Decimal Notation

x = - 3.6

Solution steps

\frac{2 x}{3 x + 6} = \frac{3}{2}

Cross multiply

4 x = 9 x + 18

Move

9 x

to the left side

- 5 x = 18

Divide both sides by

- 5

x = - \frac{18}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{18}{5}

x, f = \frac{{ x }}{( 1 + { x } )}

\frac{1}{x} - \frac{1}{( x + b )} = \frac{1}{a} - \frac{1}{( a + b )}

l, z = \frac{( 1 + l )}{( ( 3 + l ) ^{2} )}

x, \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{5}

x, 82 f = \frac{6}{( 2 - 4 x )}

What is the answer to (2x)/(3x+6)= 3/2 ?
The answer to (2x)/(3x+6)= 3/2 is x=-18/5
Solve for x: (2x)/(3x+6)= 3/2
The solution is x=-18/5