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

The answer to 2/(3x-2)=5 is x= 4/5

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2/(3x-2)=5

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

x = \frac{4}{5}

Decimal Notation

x = 0.8

Solution steps

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

Multiply both sides by

3 x - 2

2 = 5 (3 x - 2)

Switch sides

5 (3 x - 2) = 2

Divide both sides by

5

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

Move

2

to the right side

3 x = \frac{12}{5}

Divide both sides by

3

x = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = \frac{4}{5}

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

n \cdot \frac{1}{θ} = 0

\frac{20 x ^{5}}{4 x ^{2}} = x

\frac{2}{x} = \frac{15}{30}

\frac{2}{x} = \frac{x}{2}