Solve for x
x=\frac{1}{2}=0.5
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\frac{x}{x+7}=\frac{\frac{2}{5}}{6}
Divide both sides by 6.
\frac{x}{x+7}=\frac{2}{5\times 6}
Express \frac{\frac{2}{5}}{6} as a single fraction.
\frac{x}{x+7}=\frac{2}{30}
Multiply 5 and 6 to get 30.
\frac{x}{x+7}=\frac{1}{15}
Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.
15x=x+7
Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 15\left(x+7\right), the least common multiple of x+7,15.
15x-x=7
Subtract x from both sides.
14x=7
Combine 15x and -x to get 14x.
x=\frac{7}{14}
Divide both sides by 14.
x=\frac{1}{2}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.
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