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

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

Subtract $5$ from $2$ .

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

Simplify $5 (x + 3)$ .

Apply the distributive property.

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

Multiply $5$ by $3$ .

$2 x - 3 = 5 x + 15$

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

Subtract $5 x$ from both sides of the equation.

$2 x - 3 - 5 x = 15$

Subtract $5 x$ from $2 x$ .

$- 3 x - 3 = 15$

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

Add $3$ to both sides of the equation.

$- 3 x = 15 + 3$

Add $15$ and $3$ .

$- 3 x = 18$

Divide each term in $- 3 x = 18$ by $- 3$ and simplify.

Divide each term in $- 3 x = 18$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{18}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{18}{- 3}$

Divide $x$ by $1$ .

$x = \frac{18}{- 3}$

Simplify the right side.

Divide $18$ by $- 3$ .

$x = - 6$