Solve for s. 9(2/3s - 1) = -2s s = ____

Distribute 9: Distribute 9 to the terms inside the parentheses. 9 * (2/3s - 1) = 9 * 2/3s - 9 * 1 = 6s - 9Set equation to zero: Set the equation to zero by moving all terms to one side. 6s - 9 + 2s = 0 = 8s - 9 = 0Isolate s: Isolate s by adding 9 to both sides. 8s - 9 + 9 = 0 + 9 8s = 9Divide by 8: Divide both sides by 8 to solve for s. 8s / 8 = 9 / 8 s = 9/8

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Solve for $s$ . $\newline$ $9\left(\frac{2}{3}s - 1\right) = -2s$ $\newline$ $s =$ __

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

s

\newline

9\left(\frac{2}{3}s - 1\right) = -2s

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s =

Distribute $9$ : Distribute $9$ to the terms inside the parentheses. $\newline$ $9 \times \left(\frac{2}{3}s - 1\right) = 9 \times \frac{2}{3}s - 9 \times 1$ $\newline$ $= 6s - 9$
Set equation to zero: Set the equation to zero by moving all terms to one side. $\newline$ $6s - 9 + 2s = 0$ $\newline$ $= 8s - 9 = 0$
Isolate s: Isolate s by adding $9$ to both sides. $\newline$ $8s - 9 + 9 = 0 + 9$ $\newline$ $8s = 9$
Divide by $8$ : Divide both sides by $8$ to solve for $s$ . $\frac{8s}{8} = \frac{9}{8}$ $s = \frac{9}{8}$