Solve for z (5z)/3-4=1

$\frac{5 z}{3} - 4 = 1$

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

Add $4$ to both sides of the equation.

$\frac{5 z}{3} = 1 + 4$

Add $1$ and $4$ .

$\frac{5 z}{3} = 5$

Multiply both sides of the equation by $\frac{3}{5}$ .

$\frac{3}{5} \cdot \frac{5 z}{3} = \frac{3}{5} \cdot 5$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{5} \cdot \frac{5 z}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{5} \cdot \frac{5 z}{3} = \frac{3}{5} \cdot 5$

Rewrite the expression.

$\frac{1}{5} (5 z) = \frac{3}{5} \cdot 5$

Cancel the common factor of $5$ .

Factor $5$ out of $5 z$ .

$\frac{1}{5} (5 (z)) = \frac{3}{5} \cdot 5$

Cancel the common factor.

$\frac{1}{5} (5 z) = \frac{3}{5} \cdot 5$

Rewrite the expression.

$z = \frac{3}{5} \cdot 5$

Simplify the right side.

Cancel the common factor of $5$ .

Cancel the common factor.

$z = \frac{3}{5} \cdot 5$

Rewrite the expression.

$z = 3$