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

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

Multiply both sides of the equation by $3$ .

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

Simplify both sides of the equation.

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

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Cancel the common factor of $3$ .

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Cancel the common factor.

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

Rewrite the expression.

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

Multiply $2 x - 8$ by $1$ .

$2 x - 8 = 3 \cdot 4$

Multiply $3$ by $4$ .

$2 x - 8 = 12$

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

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Add $8$ to both sides of the equation.

$2 x = 12 + 8$

Add $12$ and $8$ .

$2 x = 20$

Divide each term by $2$ and simplify.

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

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

Cancel the common factor of $2$ .

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Cancel the common factor.

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

Divide $x$ by $1$ .

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

Divide $20$ by $2$ .

$x = 10$

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

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