Solve for x 3(x+1)=2(x+11)

$3 (x + 1) = 2 (x + 11)$

Step 1

Simplify $3 (x + 1)$ .

Rewrite.

$0 + 0 + 3 (x + 1) = 2 (x + 11)$

Simplify by adding zeros.

$3 (x + 1) = 2 (x + 11)$

Apply the distributive property.

$3 x + 3 \cdot 1 = 2 (x + 11)$

Multiply $3$ by $1$ .

$3 x + 3 = 2 (x + 11)$

Step 2

Simplify $2 (x + 11)$ .

Apply the distributive property.

$3 x + 3 = 2 x + 2 \cdot 11$

Multiply $2$ by $11$ .

$3 x + 3 = 2 x + 22$

Step 3

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

Subtract $2 x$ from both sides of the equation.

$3 x + 3 - 2 x = 22$

Subtract $2 x$ from $3 x$ .

$x + 3 = 22$

Step 4

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

Subtract $3$ from both sides of the equation.

$x = 22 - 3$

Subtract $3$ from $22$ .

$x = 19$