Solve for z 2(5+z)=16

$2 (5 + z) = 16$

Step 1

Divide each term in $2 (5 + z) = 16$ by $2$ and simplify.

Divide each term in $2 (5 + z) = 16$ by $2$ .

$\frac{2 (5 + z)}{2} = \frac{16}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (5 + z)}{2} = \frac{16}{2}$

Divide $5 + z$ by $1$ .

$5 + z = \frac{16}{2}$

Simplify the right side.

Divide $16$ by $2$ .

$5 + z = 8$

Step 2

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

Subtract $5$ from both sides of the equation.

$z = 8 - 5$

Subtract $5$ from $8$ .

$z = 3$