Solve for x 5(x+1)-2x=2(3+x)

$5 (x + 1) - 2 x = 2 (3 + x)$

Step 1

Simplify $5 (x + 1) - 2 x$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot 1 - 2 x = 2 (3 + x)$

Multiply $5$ by $1$ .

$5 x + 5 - 2 x = 2 (3 + x)$

Subtract $2 x$ from $5 x$ .

$3 x + 5 = 2 (3 + x)$

Step 2

Simplify $2 (3 + x)$ .

Apply the distributive property.

$3 x + 5 = 2 \cdot 3 + 2 x$

Multiply $2$ by $3$ .

$3 x + 5 = 6 + 2 x$

Step 3

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

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

$3 x + 5 - 2 x = 6$

Subtract $2 x$ from $3 x$ .

$x + 5 = 6$

Step 4

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

Subtract $5$ from both sides of the equation.

$x = 6 - 5$

Subtract $5$ from $6$ .

$x = 1$