Cross-Multiply Fractions: Cross-multiply to eliminate the fractions. (8)(x + 7) = (-3)(x - 4)Distribute Numbers: Distribute the numbers on both sides of the equation. 8x + 56 = -3x + 12Add x Terms: Add 3x to both sides to get all x terms on one side. 8x + 3x + 56 = -3x + 3x + 12 11x + 56 = 12Subtract to Isolate x: Subtract 56 from both sides to isolate the x term. 11x + 56 - 56 = 12 - 56 11x = -44Divide to Solve x: Divide both sides by 11 to solve for x. 11x / 11 = -44 / 11 x = -4

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$\frac{8}{x-4}=\frac{-3}{x+7}$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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\frac{8}{x-4}=\frac{-3}{x+7}

Cross-Multiply Fractions: Cross-multiply to eliminate the fractions. $\newline$ $(8)(x + 7) = (-3)(x - 4)$
Distribute Numbers: Distribute the numbers on both sides of the equation. $8x + 56 = -3x + 12$
Add $x$ Terms: Add $3x$ to both sides to get all $x$ terms on one side. $\newline$ $8x + 3x + 56 = -3x + 3x + 12$ $\newline$ $11x + 56 = 12$
Subtract to Isolate $x$ : Subtract $56$ from both sides to isolate the $x$ term. $\newline$ $11x + 56 - 56 = 12 - 56$ $\newline$ $11x = -44$
Divide to Solve $x$ : Divide both sides by $11$ to solve for $x$ . $\frac{11x}{11} = \frac{-44}{11}$ $x = -4$