12z+2=8z+42

Solution for 12z+2=8z+42 equation:

Simplifying
12z + 2 = 8z + 42

Reorder the terms:
2 + 12z = 8z + 42

Reorder the terms:
2 + 12z = 42 + 8z

Solving
2 + 12z = 42 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
2 + 12z + -8z = 42 + 8z + -8z

Combine like terms: 12z + -8z = 4z
2 + 4z = 42 + 8z + -8z

Combine like terms: 8z + -8z = 0
2 + 4z = 42 + 0
2 + 4z = 42

Add '-2' to each side of the equation.
2 + -2 + 4z = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 4z = 42 + -2
4z = 42 + -2

Combine like terms: 42 + -2 = 40
4z = 40

Divide each side by '4'.
z = 10

Simplifying
z = 10