QuestionAugust 24, 2025

Solve for x. (3)/(4)(x-4)=-(1)/(4)(x-16)

Solve for x. (3)/(4)(x-4)=-(1)/(4)(x-16)
Solve for x.
(3)/(4)(x-4)=-(1)/(4)(x-16)

Solution
4.7(210 votes)

Answer

x = 7 Explanation 1. Distribute the fractions Multiply \frac{3}{4} by (x-4) and -\frac{1}{4} by (x-16) to get \frac{3}{4}x - 3 = -\frac{1}{4}x + 4. 2. Combine like terms Add \frac{1}{4}x to both sides to get \frac{3}{4}x + \frac{1}{4}x = 4 + 3. 3. Simplify the equation Combine terms to get x = 7.

Explanation

1. Distribute the fractions<br /> Multiply $\frac{3}{4}$ by $(x-4)$ and $-\frac{1}{4}$ by $(x-16)$ to get $\frac{3}{4}x - 3 = -\frac{1}{4}x + 4$.<br />2. Combine like terms<br /> Add $\frac{1}{4}x$ to both sides to get $\frac{3}{4}x + \frac{1}{4}x = 4 + 3$.<br />3. Simplify the equation<br /> Combine terms to get $x = 7$.
Click to rate:

Similar Questions