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

Solution for 3(4z+2)=10-4z equation:

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

Reorder the terms:
3(2 + 4z) = 10 + -4z
(2 * 3 + 4z * 3) = 10 + -4z
(6 + 12z) = 10 + -4z

Solving
6 + 12z = 10 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
6 + 12z + 4z = 10 + -4z + 4z

Combine like terms: 12z + 4z = 16z
6 + 16z = 10 + -4z + 4z

Combine like terms: -4z + 4z = 0
6 + 16z = 10 + 0
6 + 16z = 10

Add '-6' to each side of the equation.
6 + -6 + 16z = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 16z = 10 + -6
16z = 10 + -6

Combine like terms: 10 + -6 = 4
16z = 4

Divide each side by '16'.
z = 0.25

Simplifying
z = 0.25