4+19z-1=7z+78-3z

Solution for 4+19z-1=7z+78-3z equation:

Simplifying
4 + 19z + -1 = 7z + 78 + -3z

Reorder the terms:
4 + -1 + 19z = 7z + 78 + -3z

Combine like terms: 4 + -1 = 3
3 + 19z = 7z + 78 + -3z

Reorder the terms:
3 + 19z = 78 + 7z + -3z

Combine like terms: 7z + -3z = 4z
3 + 19z = 78 + 4z

Solving
3 + 19z = 78 + 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.
3 + 19z + -4z = 78 + 4z + -4z

Combine like terms: 19z + -4z = 15z
3 + 15z = 78 + 4z + -4z

Combine like terms: 4z + -4z = 0
3 + 15z = 78 + 0
3 + 15z = 78

Add '-3' to each side of the equation.
3 + -3 + 15z = 78 + -3

Combine like terms: 3 + -3 = 0
0 + 15z = 78 + -3
15z = 78 + -3

Combine like terms: 78 + -3 = 75
15z = 75

Divide each side by '15'.
z = 5

Simplifying
z = 5