QuestionAugust 24, 2025

)) Solve for x. 2+(3)/(4)x=x-(3)/(4) X= square

)) Solve for x. 2+(3)/(4)x=x-(3)/(4) X= square
)) Solve for x. 2+(3)/(4)x=x-(3)/(4) X= square

Solution
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Answer

x = 11 Explanation 1. Simplify the equation Subtract x from both sides: 2 + \frac{3}{4}x - x = -\frac{3}{4}. 2. Combine like terms Combine x terms: 2 - \frac{1}{4}x = -\frac{3}{4}. 3. Isolate the variable term Subtract 2 from both sides: -\frac{1}{4}x = -\frac{3}{4} - 2. 4. Simplify the right side Convert 2 to a fraction: -\frac{3}{4} - \frac{8}{4} = -\frac{11}{4}. 5. Solve for x Divide both sides by -\frac{1}{4}: x = \frac{-\frac{11}{4}}{-\frac{1}{4}} = 11.

Explanation

1. Simplify the equation<br /> Subtract $x$ from both sides: $2 + \frac{3}{4}x - x = -\frac{3}{4}$.<br />2. Combine like terms<br /> Combine $x$ terms: $2 - \frac{1}{4}x = -\frac{3}{4}$.<br />3. Isolate the variable term<br /> Subtract 2 from both sides: $-\frac{1}{4}x = -\frac{3}{4} - 2$.<br />4. Simplify the right side<br /> Convert 2 to a fraction: $-\frac{3}{4} - \frac{8}{4} = -\frac{11}{4}$.<br />5. Solve for x<br /> Divide both sides by $-\frac{1}{4}$: $x = \frac{-\frac{11}{4}}{-\frac{1}{4}} = 11$.
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