Solve for x 1/3*(2x-8)=4

$\frac{1}{3} \cdot (2 x - 8) = 4$

Step 1

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot (2 x - 8)) = 3 \cdot 4$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $3 (\frac{1}{3} \cdot (2 x - 8))$ .

Apply the distributive property.

$3 (\frac{1}{3} (2 x) + \frac{1}{3} \cdot - 8) = 3 \cdot 4$

Multiply $\frac{1}{3} (2 x)$ .

Combine $2$ and $\frac{1}{3}$ .

$3 (\frac{2}{3} x + \frac{1}{3} \cdot - 8) = 3 \cdot 4$

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

$3 (\frac{2 x}{3} + \frac{1}{3} \cdot - 8) = 3 \cdot 4$

Combine $\frac{1}{3}$ and $- 8$ .

$3 (\frac{2 x}{3} + \frac{- 8}{3}) = 3 \cdot 4$

Move the negative in front of the fraction.

$3 (\frac{2 x}{3} - \frac{8}{3}) = 3 \cdot 4$

Apply the distributive property.

$3 \frac{2 x}{3} + 3 (- \frac{8}{3}) = 3 \cdot 4$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{2 x}{3} + 3 (- \frac{8}{3}) = 3 \cdot 4$

Rewrite the expression.

$2 x + 3 (- \frac{8}{3}) = 3 \cdot 4$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{8}{3}$ into the numerator.

$2 x + 3 (\frac{- 8}{3}) = 3 \cdot 4$

Cancel the common factor.

$2 x + 3 (\frac{- 8}{3}) = 3 \cdot 4$

Rewrite the expression.

$2 x - 8 = 3 \cdot 4$

Simplify the right side.

Multiply $3$ by $4$ .

$2 x - 8 = 12$

Step 3

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

Add $8$ to both sides of the equation.

$2 x = 12 + 8$

Add $12$ and $8$ .

$2 x = 20$

Step 4

Divide each term in $2 x = 20$ by $2$ and simplify.

Divide each term in $2 x = 20$ by $2$ .

$\frac{2 x}{2} = \frac{20}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{20}{2}$

Divide $x$ by $1$ .

$x = \frac{20}{2}$

Simplify the right side.

Divide $20$ by $2$ .

$x = 10$

Solve for x 1/3*(2x-8)=4

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