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Solve for w: (w+7)/6 = (w+8)/3

May 28, 2026Mathematics

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Answer

w = -9

5 steps

Write the given equation.
$\frac{w+7}{6} = \frac{w+8}{3}$
Multiply both sides by the least common multiple of the denominators (6 and 3), which is 6, to eliminate the fractions.
$6 \cdot \frac{w+7}{6} = 6 \cdot \frac{w+8}{3}$ $w+7 = 2(w+8)$
Distribute the 2 on the right side of the equation.
$w+7 = 2w+16$
Subtract $w$ from both sides to gather $w$ terms on one side.
$7 = 2w - w + 16$ $7 = w + 16$
Subtract 16 from both sides to solve for $w$ .
$7 - 16 = w$ $-9 = w$
The solution is:
$w = -9$

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