What is the answer to 4/(3x-5)=4 ?

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

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4/(3x-5)=4

\frac{4}{3 x - 5} = 4

x = 2

Solution steps

\frac{4}{3 x - 5} = 4

Multiply both sides by

3 x - 5

4 = 4 (3 x - 5)

Switch sides

4 (3 x - 5) = 4

Divide both sides by

4

3 x - 5 = 1

Move

5

to the right side

3 x = 6

Divide both sides by

3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{3}

Combine undefined points with solutions:

x = 2

\frac{140 + 0.25 x}{x} = 1

1 - \frac{8}{x - 5} = \frac{3}{x}

x^{2} - \frac{3}{x} = 7

4 + \frac{6}{x} = 22

5 = \frac{30}{5 ( x - 2 )}