Solve for s. Give an exact answer. {:[6s-4=8(2+(1)/(4)s)],[s=]:}

Write Equation: Write down the given equation. We have the equation: 6s - 4 = 8(2 + 1/4s).Distribute 8: Distribute the 8 on the right side of the equation. 8 * 2 = 16 and 8 * 1/4s = 2s. So, the equation becomes: 6s - 4 = 16 + 2s.Combine Like Terms: Subtract 2s from both sides of the equation to get all the s terms on one side. 6s - 2s - 4 = 16 + 2s - 2s. This simplifies to: 4s - 4 = 16.Add 4: Add 4 to both sides of the equation to isolate the term with s. 4s - 4 + 4 = 16 + 4. This simplifies to: 4s = 20.Divide by 4: Divide both sides of the equation by 4 to solve for s. 4s / 4 = 20 / 4. This simplifies to: s = 5.

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Solve for
s.
Give an exact answer.

{:[6s-4=8(2+(1)/(4)s)],[s=]:}

Solve for $s$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 6 s-4=8\left(2+\frac{1}{4} s\right) \\ s=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

s

\newline

Give an exact answer.

\newline

\begin{array}{l} 6 s-4=8\left(2+\frac{1}{4} s\right) \\ s=\square \end{array}

Write Equation: Write down the given equation. $\newline$ We have the equation: $6s - 4 = 8(2 + \frac{1}{4}s)$ .
Distribute $8$ : Distribute the $8$ on the right side of the equation. $\newline$ $8 \times 2 = 16$ and $8 \times \frac{1}{4}s = 2s$ . $\newline$ So, the equation becomes: $6s - 4 = 16 + 2s$ .
Combine Like Terms: Subtract $2s$ from both sides of the equation to get all the $s$ terms on one side. $\newline$ $6s - 2s - 4 = 16 + 2s - 2s$ . $\newline$ This simplifies to: $4s - 4 = 16$ .
Add $4$ : Add $4$ to both sides of the equation to isolate the term with $s$ . $\newline$ $4s - 4 + 4 = 16 + 4$ . $\newline$ This simplifies to: $4s = 20$ .
Divide by $4$ : Divide both sides of the equation by $4$ to solve for $s$ . $\frac{4s}{4} = \frac{20}{4}$ .This simplifies to: $s = 5$ .