Solve for x. (8)/(x-6)=(5)/(x+3) Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. (8)(x + 3) = (5)(x - 6)Distribute numbers: Distribute the numbers on both sides. 8x + 24 = 5x - 30Move terms and constants: Move all x terms to one side and constants to the other side. 8x - 5x = -30 - 24Combine like terms: Combine like terms. 3x = -54Divide to solve: Divide both sides by 3 to solve for x. x = -54 / 3Calculate value: Calculate the value of x. x = -18

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Solve for
x.

(8)/(x-6)=(5)/(x+3)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{8}{x-6}=\frac{5}{x+3}$ $\newline$ Answer:

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Math Problems

Algebra 2

Add, subtract, multiply, and divide polynomials

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{8}{x-6}=\frac{5}{x+3}

\newline

Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. $\newline$ $(8)(x + 3) = (5)(x - 6)$
Distribute numbers: Distribute the numbers on both sides. $8x + 24 = 5x - 30$
Move terms and constants: Move all $x$ terms to one side and constants to the other side. $8x - 5x = -30 - 24$
Combine like terms: Combine like terms. $3x = -54$
Divide to solve: Divide both sides by $3$ to solve for $x$ . $x = \frac{-54}{3}$
Calculate value: Calculate the value of $x$ . $x = -18$