Solve for z 3+z/4+5=19

$3 + \frac{z}{4} + 5 = 19$

Add $3$ and $5$ .

$\frac{z}{4} + 8 = 19$

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

Subtract $8$ from both sides of the equation.

$\frac{z}{4} = 19 - 8$

Subtract $8$ from $19$ .

$\frac{z}{4} = 11$

Multiply both sides of the equation by $4$ .

$4 \frac{z}{4} = 4 \cdot 11$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{z}{4} = 4 \cdot 11$

Rewrite the expression.

$z = 4 \cdot 11$

Simplify the right side.

Multiply $4$ by $11$ .

$z = 44$