What is the answer to (5x)/(3x-6)= 3/2 ?

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

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(5x)/(3x-6)= 3/2

\frac{5 x}{3 x - 6} = \frac{3}{2}

x = - 18

Solution steps

\frac{5 x}{3 x - 6} = \frac{3}{2}

Cross multiply

10 x = 9 x - 18

Move

9 x

to the left side

x = - 18

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 18

\frac{10}{x} = x - 3

\frac{t}{t + 1} = \frac{t + 1}{3}

y, x = \frac{y}{y - 2}

y, x = \frac{y}{y - 1}

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

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