What is the answer to (2x)/((4-3x))=2 ?

The answer to (2x)/((4-3x))=2 is x=1

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(2x)/((4-3x))=2

\frac{2 x}{( 4 - 3 x )} = 2

x = 1

Solution steps

\frac{2 x}{( 4 - 3 x )} = 2

Simplify

\frac{2 x}{( 4 - 3 x )} : \frac{2 x}{4 - 3 x}

\frac{2 x}{4 - 3 x} = 2

Multiply both sides by

4 - 3 x

2 x = 2 (4 - 3 x)

Expand

2 (4 - 3 x) : 8 - 6 x

2 x = 8 - 6 x

Move

6 x

to the left side

8 x = 8

Divide both sides by

8

x = 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}

Combine undefined points with solutions:

x = 1

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

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

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

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

\frac{y}{y - 3} + 3 = \frac{3}{y - 3}