QuestionAugust 24, 2025

Solve for x. (2)/(3)x-(5)/(6)=(1)/(4)x x= square

Solve for x. (2)/(3)x-(5)/(6)=(1)/(4)x x= square
Solve for x. (2)/(3)x-(5)/(6)=(1)/(4)x x= square

Solution
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Answer

x = 2 Explanation 1. Combine like terms Subtract \frac{1}{4}x from both sides: \frac{2}{3}x - \frac{1}{4}x = \frac{5}{6}. 2. Find a common denominator Common denominator for fractions is 12. Convert: \frac{2}{3}x = \frac{8}{12}x, \frac{1}{4}x = \frac{3}{12}x, and \frac{5}{6} = \frac{10}{12}. 3. Simplify equation \frac{8}{12}x - \frac{3}{12}x = \frac{10}{12} becomes \frac{5}{12}x = \frac{10}{12}. 4. Solve for x Multiply both sides by 12/5: x = \frac{10}{12} \times \frac{12}{5} = \frac{10}{5} = 2.

Explanation

1. Combine like terms<br /> Subtract $\frac{1}{4}x$ from both sides: $\frac{2}{3}x - \frac{1}{4}x = \frac{5}{6}$.<br />2. Find a common denominator<br /> Common denominator for fractions is 12. Convert: $\frac{2}{3}x = \frac{8}{12}x$, $\frac{1}{4}x = \frac{3}{12}x$, and $\frac{5}{6} = \frac{10}{12}$.<br />3. Simplify equation<br /> $\frac{8}{12}x - \frac{3}{12}x = \frac{10}{12}$ becomes $\frac{5}{12}x = \frac{10}{12}$.<br />4. Solve for x<br /> Multiply both sides by 12/5: $x = \frac{10}{12} \times \frac{12}{5} = \frac{10}{5} = 2$.
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