Solve for s 3=-2|1/4s-5|+3

$3 = - 2 | \frac{1}{4} s - 5 | + 3$

Rewrite the equation as $- 2 | \frac{1}{4} s - 5 | + 3 = 3$ .

$- 2 | \frac{1}{4} s - 5 | + 3 = 3$

Move all terms not containing $| \frac{1}{4} s - 5 |$ to the right side of the equation.

Subtract $3$ from both sides of the equation.

$- 2 | \frac{1}{4} s - 5 | = 3 - 3$

Subtract $3$ from $3$ .

$- 2 | \frac{1}{4} s - 5 | = 0$

Divide each term in $- 2 | \frac{1}{4} s - 5 | = 0$ by $- 2$ and simplify.

Divide each term in $- 2 | \frac{1}{4} s - 5 | = 0$ by $- 2$ .

$\frac{- 2 | \frac{1}{4} s - 5 |}{- 2} = \frac{0}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 | \frac{1}{4} s - 5 |}{- 2} = \frac{0}{- 2}$

Divide $| \frac{1}{4} s - 5 |$ by $1$ .

$| \frac{1}{4} s - 5 | = \frac{0}{- 2}$

Simplify the right side.

Divide $0$ by $- 2$ .

$| \frac{1}{4} s - 5 | = 0$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$\frac{1}{4} s - 5 = \pm 0$

Plus or minus $0$ is $0$ .

$\frac{1}{4} s - 5 = 0$

Combine $\frac{1}{4}$ and $s$ .

$\frac{s}{4} - 5 = 0$

Add $5$ to both sides of the equation.

$\frac{s}{4} = 5$

Multiply both sides of the equation by $4$ .

$4 \frac{s}{4} = 4 \cdot 5$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{s}{4} = 4 \cdot 5$

Rewrite the expression.

$s = 4 \cdot 5$

Simplify the right side.

Multiply $4$ by $5$ .

$s = 20$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$\frac{1}{4} s - 5 = \pm 0$

Plus or minus $0$ is $0$ .

$\frac{1}{4} s - 5 = 0$

Combine $\frac{1}{4}$ and $s$ .

$\frac{s}{4} - 5 = 0$

Add $5$ to both sides of the equation.

$\frac{s}{4} = 5$

Multiply both sides of the equation by $4$ .

$4 \frac{s}{4} = 4 \cdot 5$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{s}{4} = 4 \cdot 5$

Rewrite the expression.

$s = 4 \cdot 5$

Simplify the right side.

Multiply $4$ by $5$ .

$s = 20$

Solve for s 3=-2|1/4s-5|+3

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