Solve for a 8=1/3(a+5)

$8 = \frac{1}{3} (a + 5)$

Step 1

Rewrite the equation as $\frac{1}{3} \cdot (a + 5) = 8$ .

$\frac{1}{3} \cdot (a + 5) = 8$

Step 2

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot (a + 5)) = 3 \cdot 8$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $3 (\frac{1}{3} \cdot (a + 5))$ .

Apply the distributive property.

$3 (\frac{1}{3} a + \frac{1}{3} \cdot 5) = 3 \cdot 8$

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

$3 (\frac{a}{3} + \frac{1}{3} \cdot 5) = 3 \cdot 8$

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

$3 (\frac{a}{3} + \frac{5}{3}) = 3 \cdot 8$

Apply the distributive property.

$3 \frac{a}{3} + 3 (\frac{5}{3}) = 3 \cdot 8$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{a}{3} + 3 (\frac{5}{3}) = 3 \cdot 8$

Rewrite the expression.

$a + 3 (\frac{5}{3}) = 3 \cdot 8$

Cancel the common factor of $3$ .

Cancel the common factor.

$a + 3 (\frac{5}{3}) = 3 \cdot 8$

Rewrite the expression.

$a + 5 = 3 \cdot 8$

Simplify the right side.

Multiply $3$ by $8$ .

$a + 5 = 24$

Step 4

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

Subtract $5$ from both sides of the equation.

$a = 24 - 5$

Subtract $5$ from $24$ .

$a = 19$