8+3z-2=8z+10-3z

Solution for 8+3z-2=8z+10-3z equation:

Simplifying
8 + 3z + -2 = 8z + 10 + -3z

Reorder the terms:
8 + -2 + 3z = 8z + 10 + -3z

Combine like terms: 8 + -2 = 6
6 + 3z = 8z + 10 + -3z

Reorder the terms:
6 + 3z = 10 + 8z + -3z

Combine like terms: 8z + -3z = 5z
6 + 3z = 10 + 5z

Solving
6 + 3z = 10 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 3z + -5z = 10 + 5z + -5z

Combine like terms: 3z + -5z = -2z
6 + -2z = 10 + 5z + -5z

Combine like terms: 5z + -5z = 0
6 + -2z = 10 + 0
6 + -2z = 10

Add '-6' to each side of the equation.
6 + -6 + -2z = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = 10 + -6
-2z = 10 + -6

Combine like terms: 10 + -6 = 4
-2z = 4

Divide each side by '-2'.
z = -2

Simplifying
z = -2