QuestionAugust 25, 2025

Solve the equation for x. (1)/(15)(x+(7)/(8))=(1)/(16) Enter your answer as a simplified fraction or mixed number.

Solve the equation for x. (1)/(15)(x+(7)/(8))=(1)/(16) Enter your answer as a simplified fraction or mixed number.
Solve the equation for x.
(1)/(15)(x+(7)/(8))=(1)/(16)
Enter your answer as a simplified fraction or mixed number.

Solution
4.0(214 votes)

Answer

\frac{1}{16} Explanation 1. Eliminate the fraction on the left Multiply both sides by 15: x + \frac{7}{8} = \frac{15}{16}. 2. Isolate x Subtract \frac{7}{8} from both sides: x = \frac{15}{16} - \frac{7}{8}. 3. Simplify the right side Convert \frac{7}{8} to \frac{14}{16} and subtract: x = \frac{15}{16} - \frac{14}{16} = \frac{1}{16}.

Explanation

1. Eliminate the fraction on the left<br /> Multiply both sides by 15: $x + \frac{7}{8} = \frac{15}{16}$.<br />2. Isolate x<br /> Subtract $\frac{7}{8}$ from both sides: $x = \frac{15}{16} - \frac{7}{8}$.<br />3. Simplify the right side<br /> Convert $\frac{7}{8}$ to $\frac{14}{16}$ and subtract: $x = \frac{15}{16} - \frac{14}{16} = \frac{1}{16}$.
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