Solve for s -1/2s+6=23

$- \frac{1}{2} s + 6 = 23$

Step 1

Combine $s$ and $\frac{1}{2}$ .

$- \frac{s}{2} + 6 = 23$

Step 2

Move all terms not containing $s$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

$- \frac{s}{2} = 23 - 6$

Subtract $6$ from $23$ .

$- \frac{s}{2} = 17$

Step 3

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{s}{2}) = - 2 \cdot 17$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{s}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{s}{2}$ into the numerator.

$- 2 \frac{- s}{2} = - 2 \cdot 17$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- s}{2} = - 2 \cdot 17$

Cancel the common factor.

$2 \cdot - 1 \frac{- s}{2} = - 2 \cdot 17$

Rewrite the expression.

$- - s = - 2 \cdot 17$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 s = - 2 \cdot 17$

Multiply $s$ by $1$ .

$s = - 2 \cdot 17$

Simplify the right side.

Multiply $- 2$ by $17$ .

$s = - 34$