Solve for x 1/3(-12x)=-24

$\frac{1}{3} (- 12 x) = - 24$

Multiply both sides of the equation by $\frac{1}{\frac{1}{3} \cdot - 12}$ .

$\frac{1}{\frac{1}{3} \cdot - 12} (\frac{1}{3} \cdot (- 12 x)) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{1}{\frac{1}{3} \cdot - 12} (\frac{1}{3} \cdot (- 12 x))$ .

Combine $\frac{1}{3}$ and $- 12$ .

$\frac{1}{\frac{- 12}{3}} (\frac{1}{3} \cdot (- 12 x)) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Divide $- 12$ by $3$ .

$\frac{1}{- 4} (\frac{1}{3} \cdot (- 12 x)) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4$ .

$\frac{1}{4 (- 1)} (\frac{1}{3} \cdot (- 12 x)) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Factor $4$ out of $\frac{1}{3} \cdot (- 12 x)$ .

$\frac{1}{4 (- 1)} (4 (\frac{1}{3} \cdot (- 3 x))) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Cancel the common factor.

$\frac{1}{4 \cdot - 1} (4 (\frac{1}{3} \cdot (- 3 x))) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Rewrite the expression.

$\frac{1}{- 1} (\frac{1}{3} \cdot (- 3 x)) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Combine $- 3$ and $\frac{1}{3}$ .

$\frac{1}{- 1} (\frac{- 3}{3} \cdot x) = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Combine $\frac{- 3}{3}$ and $x$ .

$\frac{1}{- 1} \cdot \frac{- 3 x}{3} = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Multiply $\frac{1}{- 1}$ by $\frac{- 3 x}{3}$ .

$\frac{- 3 x}{- 1 \cdot 3} = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Multiply $- 1$ by $3$ .

$\frac{- 3 x}{- 3} = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Divide $x$ by $1$ .

$x = \frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$

Simplify the right side.

Simplify $\frac{1}{\frac{1}{3} \cdot - 12} \cdot - 24$ .

Combine $\frac{1}{3}$ and $- 12$ .

$x = \frac{1}{\frac{- 12}{3}} \cdot - 24$

Divide $- 12$ by $3$ .

$x = \frac{1}{- 4} \cdot - 24$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4$ .

$x = \frac{1}{4 (- 1)} \cdot - 24$

Factor $4$ out of $- 24$ .

$x = \frac{1}{4 \cdot - 1} \cdot (4 \cdot - 6)$

Cancel the common factor.

$x = \frac{1}{4 \cdot - 1} \cdot (4 \cdot - 6)$

Rewrite the expression.

$x = \frac{1}{- 1} \cdot - 6$

Combine $\frac{1}{- 1}$ and $- 6$ .

$x = \frac{- 6}{- 1}$

Divide $- 6$ by $- 1$ .

$x = 6$

Solve for x 1/3(-12x)=-24

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