\text{Solve for }z of (2z-4)/5 =(3z+3)/(10)

Solve (2z-4)/5 =(3z+3)/(10)

Evaluate

\frac{( 2 z - 4 )}{5} = \frac{( 3 z + 3 )}{10}

Remove the parentheses

\frac{2 z - 4}{5} = \frac{3 z + 3}{10}

Cross multiply

(2 z - 4) \times 10 = 5 (3 z + 3)

Simplify the equation

10 (2 z - 4) = 5 (3 z + 3)

Rewrite the expression

5 \times 2 (2 z - 4) = 5 (3 z + 3)

Evaluate

2 (2 z - 4) = 3 z + 3

Expand the expression

More Steps

4 z - 8 = 3 z + 3

Move the expression to the left side

4 z - 8 - 3 z = 3

Move the expression to the right side

4 z - 3 z = 3 + 8

Add and subtract

More Steps

z = 3 + 8

Solution

z = 11