2(3-8z)=4(5-6z)

Solution for 2(3-8z)=4(5-6z) equation:

Simplifying
2(3 + -8z) = 4(5 + -6z)
(3 * 2 + -8z * 2) = 4(5 + -6z)
(6 + -16z) = 4(5 + -6z)
6 + -16z = (5 * 4 + -6z * 4)
6 + -16z = (20 + -24z)

Solving
6 + -16z = 20 + -24z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '24z' to each side of the equation.
6 + -16z + 24z = 20 + -24z + 24z

Combine like terms: -16z + 24z = 8z
6 + 8z = 20 + -24z + 24z

Combine like terms: -24z + 24z = 0
6 + 8z = 20 + 0
6 + 8z = 20

Add '-6' to each side of the equation.
6 + -6 + 8z = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 8z = 20 + -6
8z = 20 + -6

Combine like terms: 20 + -6 = 14
8z = 14

Divide each side by '8'.
z = 1.75

Simplifying
z = 1.75