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

Cross-multiply fractions: Cross-multiply to eliminate the fractions. Multiply both sides of the equation by (x+8)(5x+3) to get rid of the denominators. (8)(5x+3) = (3)(x+8)Multiply by common denominator: Distribute the numbers on both sides of the equation. 40x + 24 = 3x + 24Distribute numbers: Subtract 3x from both sides to start isolating x. 40x + 24 - 3x = 3x + 24 - 3x 37x + 24 = 24Subtract to isolate x: Subtract 24 from both sides to further isolate x. 37x + 24 - 24 = 24 - 24 37x = 0Divide to solve for x: Divide both sides by 37 to solve for x. 37x / 37 = 0 / 37 x = 0

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

\mathrm{x}

\newline

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

\newline

Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. $\newline$ Multiply both sides of the equation by $(x+8)(5x+3)$ to get rid of the denominators. $\newline$ $(8)(5x+3) = (3)(x+8)$
Multiply by common denominator: Distribute the numbers on both sides of the equation. $\newline$ $40x + 24 = 3x + 24$
Distribute numbers: Subtract $3x$ from both sides to start isolating $x$ . $\newline$ $40x + 24 - 3x = 3x + 24 - 3x$ $\newline$ $37x + 24 = 24$
Subtract to isolate $x$ : Subtract $24$ from both sides to further isolate $x$ . $37x + 24 - 24 = 24 - 24$ $37x = 0$
Divide to solve for x: Divide both sides by $37$ to solve for x. $\frac{37x}{37} = \frac{0}{37}$ $x = 0$