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

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

Simplify $9 (\frac{2}{3} s - 1)$ .

Start simplifying.

$0 + 0 + 9 (\frac{2}{3} s - 1) = - 2 s$

Simplify by adding zeros.

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

Combine $\frac{2}{3}$ and $s$ .

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

Apply the distributive property.

$9 \frac{2 s}{3} + 9 \cdot - 1 = - 2 s$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$3 (3) \frac{2 s}{3} + 9 \cdot - 1 = - 2 s$

Cancel the common factor.

$3 \cdot 3 \frac{2 s}{3} + 9 \cdot - 1 = - 2 s$

Rewrite the expression.

$3 (2 s) + 9 \cdot - 1 = - 2 s$

Multiply.

Multiply $2$ by $3$ .

$6 s + 9 \cdot - 1 = - 2 s$

Multiply $9$ by $- 1$ .

$6 s - 9 = - 2 s$

Move all terms containing $s$ to the left side of the equation.

Add $2 s$ to both sides of the equation.

$6 s - 9 + 2 s = 0$

Add $6 s$ and $2 s$ .

$8 s - 9 = 0$

Add $9$ to both sides of the equation.

$8 s = 9$

Divide each term in $8 s = 9$ by $8$ and simplify.

Divide each term in $8 s = 9$ by $8$ .

$\frac{8 s}{8} = \frac{9}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 s}{8} = \frac{9}{8}$

Divide $s$ by $1$ .

$s = \frac{9}{8}$

The result can be shown in multiple forms.

Exact Form:

$s = \frac{9}{8}$

Decimal Form:

$s = 1.125$

Mixed Number Form:

$s = 1 \frac{1}{8}$