What is the answer to 3/8 =(15)/(5x-2) ?

The answer to 3/8 =(15)/(5x-2) is x= 42/5

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3/8 =(15)/(5x-2)

\frac{3}{8} = \frac{15}{5 x - 2}

x = \frac{42}{5}

Decimal Notation

x = 8.4

Solution steps

\frac{3}{8} = \frac{15}{5 x - 2}

Cross multiply

3 (5 x - 2) = 120

Divide both sides by

3

5 x - 2 = 40

Move

2

to the right side

5 x = 42

Divide both sides by

5

x = \frac{42}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{5}

Combine undefined points with solutions:

x = \frac{42}{5}

\frac{1}{4} = \frac{3}{x} - \frac{1}{2}

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

\frac{1}{x} = \frac{3}{15}

\frac{8}{x} + 2 = \frac{x + 4}{x - 6}

\frac{x - 14}{x - 12} = \frac{7}{8}

What is the answer to 3/8 =(15)/(5x-2) ?
The answer to 3/8 =(15)/(5x-2) is x= 42/5
Solve for x: 3/8 =(15)/(5x-2)
The solution is x= 42/5