5z+6-3z=3+z-10

Solution for 5z+6-3z=3+z-10 equation:

Simplifying
5z + 6 + -3z = 3 + z + -10

Reorder the terms:
6 + 5z + -3z = 3 + z + -10

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

Reorder the terms:
6 + 2z = 3 + -10 + z

Combine like terms: 3 + -10 = -7
6 + 2z = -7 + z

Solving
6 + 2z = -7 + 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.
6 + 2z + -1z = -7 + z + -1z

Combine like terms: 2z + -1z = 1z
6 + 1z = -7 + z + -1z

Combine like terms: z + -1z = 0
6 + 1z = -7 + 0
6 + 1z = -7

Add '-6' to each side of the equation.
6 + -6 + 1z = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = -7 + -6
1z = -7 + -6

Combine like terms: -7 + -6 = -13
1z = -13

Divide each side by '1'.
z = -13

Simplifying
z = -13