5z+6-2z=3+2z-4

Solution for 5z+6-2z=3+2z-4 equation:

Simplifying
5z + 6 + -2z = 3 + 2z + -4

Reorder the terms:
6 + 5z + -2z = 3 + 2z + -4

Combine like terms: 5z + -2z = 3z
6 + 3z = 3 + 2z + -4

Reorder the terms:
6 + 3z = 3 + -4 + 2z

Combine like terms: 3 + -4 = -1
6 + 3z = -1 + 2z

Solving
6 + 3z = -1 + 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 + 3z + -2z = -1 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = -1 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 1z = -1 + 0
6 + 1z = -1

Add '-6' to each side of the equation.
6 + -6 + 1z = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = -1 + -6
1z = -1 + -6

Combine like terms: -1 + -6 = -7
1z = -7

Divide each side by '1'.
z = -7

Simplifying
z = -7