Solve for x 3/8(2x+16)-2=13

$\frac{3}{8} (2 x + 16) - 2 = 13$

Step 1

Simplify $\frac{3}{8} \cdot (2 x + 16) - 2$ .

Simplify each term.

Apply the distributive property.

$\frac{3}{8} (2 x) + \frac{3}{8} \cdot 16 - 2 = 13$

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$\frac{3}{2 (4)} (2 x) + \frac{3}{8} \cdot 16 - 2 = 13$

Factor $2$ out of $2 x$ .

$\frac{3}{2 (4)} (2 (x)) + \frac{3}{8} \cdot 16 - 2 = 13$

Cancel the common factor.

$\frac{3}{2 \cdot 4} (2 x) + \frac{3}{8} \cdot 16 - 2 = 13$

Rewrite the expression.

$\frac{3}{4} x + \frac{3}{8} \cdot 16 - 2 = 13$

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} + \frac{3}{8} \cdot 16 - 2 = 13$

Cancel the common factor of $8$ .

Factor $8$ out of $16$ .

$\frac{3 x}{4} + \frac{3}{8} \cdot (8 (2)) - 2 = 13$

Cancel the common factor.

$\frac{3 x}{4} + \frac{3}{8} \cdot (8 \cdot 2) - 2 = 13$

Rewrite the expression.

$\frac{3 x}{4} + 3 \cdot 2 - 2 = 13$

Multiply $3$ by $2$ .

$\frac{3 x}{4} + 6 - 2 = 13$

Subtract $2$ from $6$ .

$\frac{3 x}{4} + 4 = 13$

Step 2

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

Subtract $4$ from both sides of the equation.

$\frac{3 x}{4} = 13 - 4$

Subtract $4$ from $13$ .

$\frac{3 x}{4} = 9$

Step 3

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 9$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} \cdot \frac{3 x}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 9$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 9$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{4}{3} \cdot 9$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 9$

Rewrite the expression.

$x = \frac{4}{3} \cdot 9$

Simplify the right side.

Simplify $\frac{4}{3} \cdot 9$ .

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$x = \frac{4}{3} \cdot (3 (3))$

Cancel the common factor.

$x = \frac{4}{3} \cdot (3 \cdot 3)$

Rewrite the expression.

$x = 4 \cdot 3$

Multiply $4$ by $3$ .

$x = 12$

Solve for x 3/8(2x+16)-2=13

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