Solve for x 1/3(5x-9)=2(1/3x+6)

$\frac{1}{3} (5 x - 9) = 2 (\frac{1}{3} x + 6)$

Simplify $\frac{1}{3} \cdot (5 x - 9)$ .

Start simplifying.

$0 + 0 + \frac{1}{3} \cdot (5 x - 9) = 2 (\frac{1}{3} x + 6)$

Simplify by adding zeros.

$\frac{1}{3} \cdot (5 x - 9) = 2 (\frac{1}{3} x + 6)$

Apply the distributive property.

$\frac{1}{3} (5 x) + \frac{1}{3} \cdot - 9 = 2 (\frac{1}{3} x + 6)$

Multiply $\frac{1}{3} (5 x)$ .

Combine $5$ and $\frac{1}{3}$ .

$\frac{5}{3} x + \frac{1}{3} \cdot - 9 = 2 (\frac{1}{3} x + 6)$

Combine $\frac{5}{3}$ and $x$ .

$\frac{5 x}{3} + \frac{1}{3} \cdot - 9 = 2 (\frac{1}{3} x + 6)$

Cancel the common factor of $3$ .

Factor $3$ out of $- 9$ .

$\frac{5 x}{3} + \frac{1}{3} \cdot (3 (- 3)) = 2 (\frac{1}{3} x + 6)$

Cancel the common factor.

$\frac{5 x}{3} + \frac{1}{3} \cdot (3 \cdot - 3) = 2 (\frac{1}{3} x + 6)$

Rewrite the expression.

$\frac{5 x}{3} - 3 = 2 (\frac{1}{3} x + 6)$

Simplify $2 (\frac{1}{3} x + 6)$ .

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

$\frac{5 x}{3} - 3 = 2 (\frac{x}{3} + 6)$

Apply the distributive property.

$\frac{5 x}{3} - 3 = 2 \frac{x}{3} + 2 \cdot 6$

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

$\frac{5 x}{3} - 3 = \frac{2 x}{3} + 2 \cdot 6$

Multiply $2$ by $6$ .

$\frac{5 x}{3} - 3 = \frac{2 x}{3} + 12$

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

Subtract $\frac{2 x}{3}$ from both sides of the equation.

$\frac{5 x}{3} - 3 - \frac{2 x}{3} = 12$

Combine the numerators over the common denominator.

$- 3 + \frac{5 x - 2 x}{3} = 12$

Subtract $2 x$ from $5 x$ .

$- 3 + \frac{3 x}{3} = 12$

Cancel the common factor of $3$ .

Cancel the common factor.

$- 3 + \frac{3 x}{3} = 12$

Divide $x$ by $1$ .

$- 3 + x = 12$

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

Add $3$ to both sides of the equation.

$x = 12 + 3$

Add $12$ and $3$ .

$x = 15$

Solve for x 1/3(5x-9)=2(1/3x+6)

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