4z+10-2z=5+z-5

Solution for 4z+10-2z=5+z-5 equation:

Simplifying
4z + 10 + -2z = 5 + z + -5

Reorder the terms:
10 + 4z + -2z = 5 + z + -5

Combine like terms: 4z + -2z = 2z
10 + 2z = 5 + z + -5

Reorder the terms:
10 + 2z = 5 + -5 + z

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

Solving
10 + 2z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
10 + 2z + -1z = z + -1z

Combine like terms: 2z + -1z = 1z
10 + 1z = z + -1z

Combine like terms: z + -1z = 0
10 + 1z = 0

Add '-10' to each side of the equation.
10 + -10 + 1z = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 0 + -10
1z = 0 + -10

Combine like terms: 0 + -10 = -10
1z = -10

Divide each side by '1'.
z = -10

Simplifying
z = -10