Solve for u -2(u+2)+7=3(u+6)

$- 2 (u + 2) + 7 = 3 (u + 6)$

Step 1

Simplify $- 2 (u + 2) + 7$ .

Simplify each term.

Apply the distributive property.

$- 2 u - 2 \cdot 2 + 7 = 3 (u + 6)$

Multiply $- 2$ by $2$ .

$- 2 u - 4 + 7 = 3 (u + 6)$

Add $- 4$ and $7$ .

$- 2 u + 3 = 3 (u + 6)$

Step 2

Simplify $3 (u + 6)$ .

Apply the distributive property.

$- 2 u + 3 = 3 u + 3 \cdot 6$

Multiply $3$ by $6$ .

$- 2 u + 3 = 3 u + 18$

Step 3

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

Subtract $3 u$ from both sides of the equation.

$- 2 u + 3 - 3 u = 18$

Subtract $3 u$ from $- 2 u$ .

$- 5 u + 3 = 18$

Step 4

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

Subtract $3$ from both sides of the equation.

$- 5 u = 18 - 3$

Subtract $3$ from $18$ .

$- 5 u = 15$

Step 5

Divide each term in $- 5 u = 15$ by $- 5$ and simplify.

Divide each term in $- 5 u = 15$ by $- 5$ .

$\frac{- 5 u}{- 5} = \frac{15}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 u}{- 5} = \frac{15}{- 5}$

Divide $u$ by $1$ .

$u = \frac{15}{- 5}$

Simplify the right side.

Divide $15$ by $- 5$ .

$u = - 3$