8z+6=2z-3

Solution for 8z+6=2z-3 equation:

Simplifying
8z + 6 = 2z + -3

Reorder the terms:
6 + 8z = 2z + -3

Reorder the terms:
6 + 8z = -3 + 2z

Solving
6 + 8z = -3 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + 8z + -2z = -3 + 2z + -2z

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

Combine like terms: 2z + -2z = 0
6 + 6z = -3 + 0
6 + 6z = -3

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

Combine like terms: 6 + -6 = 0
0 + 6z = -3 + -6
6z = -3 + -6

Combine like terms: -3 + -6 = -9
6z = -9

Divide each side by '6'.
z = -1.5

Simplifying
z = -1.5