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

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

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(3+2x)/x =4

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Multiply both sides by

x

3 + 2 x = 4 x

Move

3

to the right side

2 x = 4 x - 3

Move

4 x

to the left side

- 2 x = - 3

Divide both sides by

- 2

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{( 7 + 17 )}{2 + n x ^{4}} = 20

y, x = \frac{3 y - 8}{7 - 6 y}

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

- \frac{12}{s} = - 3

\frac{6}{x} = \frac{5}{x - 1}