Solve for u 2(2u-7)=18

$2 (2 u - 7) = 18$

Divide each term in $2 (2 u - 7) = 18$ by $2$ and simplify.

Divide each term in $2 (2 u - 7) = 18$ by $2$ .

$\frac{2 (2 u - 7)}{2} = \frac{18}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (2 u - 7)}{2} = \frac{18}{2}$

Divide $2 u - 7$ by $1$ .

$2 u - 7 = \frac{18}{2}$

Simplify the right side.

Divide $18$ by $2$ .

$2 u - 7 = 9$

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

Add $7$ to both sides of the equation.

$2 u = 9 + 7$

Add $9$ and $7$ .

$2 u = 16$

Divide each term in $2 u = 16$ by $2$ and simplify.

Divide each term in $2 u = 16$ by $2$ .

$\frac{2 u}{2} = \frac{16}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 u}{2} = \frac{16}{2}$

Divide $u$ by $1$ .

$u = \frac{16}{2}$

Simplify the right side.

Divide $16$ by $2$ .

$u = 8$