Solve for x 3x-2(x+5)=-7

$3 x - 2 (x + 5) = - 7$

Step 1

Simplify $3 x - 2 (x + 5)$ .

Simplify each term.

Apply the distributive property.

$3 x - 2 x - 2 \cdot 5 = - 7$

Multiply $- 2$ by $5$ .

$3 x - 2 x - 10 = - 7$

Subtract $2 x$ from $3 x$ .

$x - 10 = - 7$

Step 2

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

Add $10$ to both sides of the equation.

$x = - 7 + 10$

Add $- 7$ and $10$ .

$x = 3$