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

Cross-multiply fractions: Cross-multiply to eliminate the fractions. (x + 3)/8 = (x - 6)/5 5(x + 3) = 8(x - 6)Distribute terms: Distribute the 5 and the 8 to the terms inside the parentheses. 5x + 15 = 8x - 48Move x and constants: Move all x terms to one side and constant terms to the other side. 5x - 8x + 15 = 8x - 8x - 48 -3x + 15 = -48Subtract to isolate x: Subtract 15 from both sides to isolate the variable term. -3x + 15 - 15 = -48 - 15 -3x = -63Divide to solve x: Divide both sides by -3 to solve for x. -3x / -3 = -63 / -3 x = 21

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

\mathrm{x}

\newline

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

\newline

Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. $\newline$ $(x + 3)/8 = (x - 6)/5$ $\newline$ $5(x + 3) = 8(x - 6)$
Distribute terms: Distribute the $5$ and the $8$ to the terms inside the parentheses. $5x + 15 = 8x - 48$
Move x and constants: Move all x terms to one side and constant terms to the other side. $\newline$ $5x - 8x + 15 = 8x - 8x - 48$ $\newline$ $-3x + 15 = -48$
Subtract to isolate x: Subtract $15$ from both sides to isolate the variable term. $\newline$ $-3x + 15 - 15 = -48 - 15$ $\newline$ $-3x = -63$
Divide to solve $x$ : Divide both sides by $-3$ to solve for $x$ . $\newline$ $-3x / -3 = -63 / -3$ $\newline$ $x = 21$