Solve for s. 2-2s=(3)/(4)s+13 s=

Write down equation: Write down the original equation. 2 - 2s = (3/4)s + 13 We need to solve for s by isolating it on one side of the equation.Eliminate the fraction: Eliminate the fraction by multiplying every term by the denominator of the fraction, which is 4. 4 * (2 - 2s) = 4 * ((3/4)s + 13) This gives us: 8 - 8s = 3s + 52Move terms and constants: Move all terms containing s to one side of the equation and constant terms to the other side. 8 - 8s - 3s = 3s + 52 - 3s This simplifies to: 8 - 11s = 52Isolate s: Now, isolate s by moving the constant term on the left side to the right side. 8 - 11s - 8 = 52 - 8 This simplifies to: -11s = 44Divide both sides: Finally, divide both sides by -11 to solve for s. -11s / -11 = 44 / -11 This gives us: s = -4

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Solve for $s$ . $\newline$ $\begin{array}{l} 2-2 s=\frac{3}{4} s+13 \\ s=\square \end{array}$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

s

\newline

\begin{array}{l} 2-2 s=\frac{3}{4} s+13 \\ s=\square \end{array}

Write down equation: Write down the original equation. $\newline$ $2 - 2s = \frac{3}{4}s + 13$ $\newline$ We need to solve for $s$ by isolating it on one side of the equation.
Eliminate the fraction: Eliminate the fraction by multiplying every term by the denominator of the fraction, which is $4$ . $\newline$ $4 \times (2 - 2s) = 4 \times \left(\frac{3}{4}s + 13\right)$ $\newline$ This gives us: $\newline$ $8 - 8s = 3s + 52$
Move terms and constants: Move all terms containing $s$ to one side of the equation and constant terms to the other side. $\newline$ $8 - 8s - 3s = 3s + 52 - 3s$ $\newline$ This simplifies to: $\newline$ $8 - 11s = 52$
Isolate $s$ : Now, isolate $s$ by moving the constant term on the left side to the right side. $\newline$ $8 - 11s - 8 = 52 - 8$ $\newline$ This simplifies to: $\newline$ $-11s = 44$
Divide both sides: Finally, divide both sides by $-11$ to solve for $s$ . $\newline$ $-11s / -11 = 44 / -11$ $\newline$ This gives us: $\newline$ $s = -4$