10z+3-5z=12-42

Solution for 10z+3-5z=12-42 equation:

Simplifying
10z + 3 + -5z = 12 + -42

Reorder the terms:
3 + 10z + -5z = 12 + -42

Combine like terms: 10z + -5z = 5z
3 + 5z = 12 + -42

Combine like terms: 12 + -42 = -30
3 + 5z = -30

Solving
3 + 5z = -30

Solving for variable 'z'.

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

Add '-3' to each side of the equation.
3 + -3 + 5z = -30 + -3

Combine like terms: 3 + -3 = 0
0 + 5z = -30 + -3
5z = -30 + -3

Combine like terms: -30 + -3 = -33
5z = -33

Divide each side by '5'.
z = -6.6

Simplifying
z = -6.6