Solve for x 4(x+1)+2=3x+6

$4 (x + 1) + 2 = 3 x + 6$

Step 1

Simplify $4 (x + 1) + 2$ .

Simplify each term.

Apply the distributive property.

$4 x + 4 \cdot 1 + 2 = 3 x + 6$

Multiply $4$ by $1$ .

$4 x + 4 + 2 = 3 x + 6$

Add $4$ and $2$ .

$4 x + 6 = 3 x + 6$

Step 2

Move all terms containing $x$ to the left side of the equation.

Subtract $3 x$ from both sides of the equation.

$4 x + 6 - 3 x = 6$

Subtract $3 x$ from $4 x$ .

$x + 6 = 6$

Step 3

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

Subtract $6$ from both sides of the equation.

$x = 6 - 6$

Subtract $6$ from $6$ .

$x = 0$