Solve for x 4x+2-(3+3x)=7

$4 x + 2 - (3 + 3 x) = 7$

Step 1

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

Simplify each term.

Apply the distributive property.

$4 x + 2 - 1 \cdot 3 - (3 x) = 7$

Multiply $- 1$ by $3$ .

$4 x + 2 - 3 - (3 x) = 7$

Multiply $3$ by $- 1$ .

$4 x + 2 - 3 - 3 x = 7$

Simplify by adding terms.

Subtract $3 x$ from $4 x$ .

$x + 2 - 3 = 7$

Subtract $3$ from $2$ .

$x - 1 = 7$

Step 2

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

Add $1$ to both sides of the equation.

$x = 7 + 1$

Add $7$ and $1$ .

$x = 8$