QuestionDecember 26, 2025

Solve: (4)/(x-4)=(6)/(x+2) square

Solve: (4)/(x-4)=(6)/(x+2) square
Solve:
(4)/(x-4)=(6)/(x+2)
square

Solution
4.2(235 votes)

Answer

x = 16 Explanation 1. Cross-multiply to eliminate denominators 4(x+2) = 6(x-4) 2. Expand both sides 4x + 8 = 6x - 24 3. Collect like terms 8 + 24 = 6x - 4x \implies 32 = 2x 4. Solve for x x = \frac{32}{2} = 16

Explanation

1. Cross-multiply to eliminate denominators<br /> $4(x+2) = 6(x-4)$<br />2. Expand both sides<br /> $4x + 8 = 6x - 24$<br />3. Collect like terms<br /> $8 + 24 = 6x - 4x \implies 32 = 2x$<br />4. Solve for $x$<br /> $x = \frac{32}{2} = 16$
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