Solve for x 1/3*(x-6)>3

$\frac{1}{3} \cdot (x - 6) > 3$

Simplify.

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Apply the distributive property.

$\frac{1}{3} x + \frac{1}{3} \cdot - 6 > 3$

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

$\frac{x}{3} + \frac{1}{3} \cdot - 6 > 3$

Cancel the common factor of $3$ .

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Factor $3$ out of $- 6$ .

$\frac{x}{3} + \frac{1}{3} \cdot (3 (- 2)) > 3$

Cancel the common factor.

$\frac{x}{3} + \frac{1}{3} \cdot (3 \cdot - 2) > 3$

Rewrite the expression.

$\frac{x}{3} - 2 > 3$

Multiply each term by $3$ and simplify.

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Multiply each term in $\frac{x}{3} - 2 > 3$ by $3$ .

$\frac{x}{3} \cdot 3 - 2 \cdot 3 > 3 \cdot 3$

Simplify each term.

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Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{x}{3} \cdot 3 - 2 \cdot 3 > 3 \cdot 3$

Rewrite the expression.

$x - 2 \cdot 3 > 3 \cdot 3$

Multiply $- 2$ by $3$ .

$x - 6 > 3 \cdot 3$

Multiply $3$ by $3$ .

$x - 6 > 9$

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

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Add $6$ to both sides of the inequality.

$x > 9 + 6$

Add $9$ and $6$ .

$x > 15$

The result can be shown in multiple forms.

Inequality Form:

$x > 15$

Interval Notation:

$(15, \infty)$

Solve for x 1/3*(x-6)>3

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