What is the answer to 3/(4x+2)= 1/3 ?

The answer to 3/(4x+2)= 1/3 is x= 7/4

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3/(4x+2)= 1/3

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

x = \frac{7}{4}

Decimal Notation

x = 1.75

Solution steps

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

Cross multiply

9 = 4 x + 2

Switch sides

4 x + 2 = 9

Move

2

to the right side

4 x = 7

Divide both sides by

4

x = \frac{7}{4}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = \frac{7}{4}

- \frac{72}{x ^{2}} + 2 = 0

\frac{3}{2} = \frac{4}{a}

7 + \frac{8}{x} = 5

\frac{x ^{2} - 9}{x + 2} = 8

y, x = \frac{2 y - 3}{y + 5}