Solve for x 7(x+2)-(6x-5)=-2

$7 (x + 2) - (6 x - 5) = - 2$

Step 1

Simplify $7 (x + 2) - (6 x - 5)$ .

Simplify each term.

Apply the distributive property.

$7 x + 7 \cdot 2 - (6 x - 5) = - 2$

Multiply $7$ by $2$ .

$7 x + 14 - (6 x - 5) = - 2$

Apply the distributive property.

$7 x + 14 - (6 x) - - 5 = - 2$

Multiply $6$ by $- 1$ .

$7 x + 14 - 6 x - - 5 = - 2$

Multiply $- 1$ by $- 5$ .

$7 x + 14 - 6 x + 5 = - 2$

Simplify by adding terms.

Subtract $6 x$ from $7 x$ .

$x + 14 + 5 = - 2$

Add $14$ and $5$ .

$x + 19 = - 2$

Step 2

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

Subtract $19$ from both sides of the equation.

$x = - 2 - 19$

Subtract $19$ from $- 2$ .

$x = - 21$