Simplify 84=2(6+2x)+(2)x

$84 = 2 (6 + 2 x) + (2) x$

Step 1

Rewrite the equation as $2 (6 + 2 x) + 2 x = 84$ .

$2 (6 + 2 x) + 2 x = 84$

Step 2

Simplify $2 (6 + 2 x) + 2 x$ .

Simplify each term.

Apply the distributive property.

$2 \cdot 6 + 2 (2 x) + 2 x = 84$

Multiply $2$ by $6$ .

$12 + 2 (2 x) + 2 x = 84$

Multiply $2$ by $2$ .

$12 + 4 x + 2 x = 84$

Add $4 x$ and $2 x$ .

$12 + 6 x = 84$

Step 3

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

Subtract $12$ from both sides of the equation.

$6 x = 84 - 12$

Subtract $12$ from $84$ .

$6 x = 72$

Step 4

Divide each term in $6 x = 72$ by $6$ and simplify.

Divide each term in $6 x = 72$ by $6$ .

$\frac{6 x}{6} = \frac{72}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{72}{6}$

Divide $x$ by $1$ .

$x = \frac{72}{6}$

Simplify the right side.

Divide $72$ by $6$ .

$x = 12$