Solve for x 3x-4(2+x)=18

$3 x - 4 (2 + x) = 18$

Simplify $3 x - 4 (2 + x)$ .

Simplify each term.

Apply the distributive property.

$3 x - 4 \cdot 2 - 4 x = 18$

Multiply $- 4$ by $2$ .

$3 x - 8 - 4 x = 18$

Subtract $4 x$ from $3 x$ .

$- x - 8 = 18$

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

Add $8$ to both sides of the equation.

$- x = 18 + 8$

Add $18$ and $8$ .

$- x = 26$

Divide each term in $- x = 26$ by $- 1$ and simplify.

Divide each term in $- x = 26$ by $- 1$ .

$\frac{- x}{- 1} = \frac{26}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{26}{- 1}$

Divide $x$ by $1$ .

$x = \frac{26}{- 1}$

Simplify the right side.

Divide $26$ by $- 1$ .

$x = - 26$