What is the answer to 3/8 =(6w-7)/(2w+14) ?

The answer to 3/8 =(6w-7)/(2w+14) is w= 7/3

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3/8 =(6w-7)/(2w+14)

\frac{3}{8} = \frac{6 w - 7}{2 w + 14}

w = \frac{7}{3}

Decimal Notation

w = 2.33333 \dots

Solution steps

\frac{3}{8} = \frac{6 w - 7}{2 w + 14}

Cross multiply

6 w + 42 = 48 w - 56

Move

42

to the right side

6 w = 48 w - 98

Move

48 w

to the left side

- 42 w = - 98

Divide both sides by

- 42

w = \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

w = - 7

Combine undefined points with solutions:

w = \frac{7}{3}

0 = \frac{x}{x ^{2} - 16}

\frac{11}{3 z + 2} = \frac{1}{4}

\frac{9}{x} = \frac{1}{3 x} + 1

\frac{3}{x - 1} = \frac{2}{5}

\frac{3}{x} - \frac{1}{3} = - 6

What is the answer to 3/8 =(6w-7)/(2w+14) ?
The answer to 3/8 =(6w-7)/(2w+14) is w= 7/3
Solve for w: 3/8 =(6w-7)/(2w+14)
The solution is w= 7/3