Solve for x S=1/3(x+b)a

$S = \frac{1}{3} (x + b) a$

Rewrite the equation as $\frac{1}{3} \cdot ((x + b) a) = S$ .

$\frac{1}{3} \cdot ((x + b) a) = S$

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot ((x + b) a)) = 3 S$

Simplify the left side.

Simplify $3 (\frac{1}{3} \cdot ((x + b) a))$ .

Apply the distributive property.

$3 (\frac{1}{3} \cdot (x a + b a)) = 3 S$

Apply the distributive property.

$3 (\frac{1}{3} (x a) + \frac{1}{3} (b a)) = 3 S$

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

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

$3 (\frac{x}{3} a + \frac{1}{3} (b a)) = 3 S$

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

$3 (\frac{x a}{3} + \frac{1}{3} (b a)) = 3 S$

$3 (\frac{x a}{3} + \frac{1}{3} (b a)) = 3 S$

Multiply $\frac{1}{3} (b a)$ .

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

$3 (\frac{x a}{3} + \frac{b}{3} a) = 3 S$

Combine $\frac{b}{3}$ and $a$ .

$3 (\frac{x a}{3} + \frac{b a}{3}) = 3 S$

$3 (\frac{x a}{3} + \frac{b a}{3}) = 3 S$

Apply the distributive property.

$3 \frac{x a}{3} + 3 \frac{b a}{3} = 3 S$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{x a}{3} + 3 \frac{b a}{3} = 3 S$

Rewrite the expression.

$x a + 3 \frac{b a}{3} = 3 S$

$x a + 3 \frac{b a}{3} = 3 S$

Cancel the common factor of $3$ .

Cancel the common factor.

$x a + 3 \frac{b a}{3} = 3 S$

Rewrite the expression.

$x a + b a = 3 S$

$x a + b a = 3 S$

$x a + b a = 3 S$

$x a + b a = 3 S$

Subtract $b a$ from both sides of the equation.

$x a = 3 S - b a$

Divide each term in $x a = 3 S - b a$ by $a$ and simplify.

Divide each term in $x a = 3 S - b a$ by $a$ .

$\frac{x a}{a} = \frac{3 S}{a} + \frac{- b a}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{x a}{a} = \frac{3 S}{a} + \frac{- b a}{a}$

Divide $x$ by $1$ .

$x = \frac{3 S}{a} + \frac{- b a}{a}$

$x = \frac{3 S}{a} + \frac{- b a}{a}$

$x = \frac{3 S}{a} + \frac{- b a}{a}$

Simplify the right side.

Cancel the common factor of $a$ .

Cancel the common factor.

$x = \frac{3 S}{a} + \frac{- b a}{a}$

Divide $- b$ by $1$ .

$x = \frac{3 S}{a} - b$

$x = \frac{3 S}{a} - b$

$x = \frac{3 S}{a} - b$

$x = \frac{3 S}{a} - b$

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