2z+6+2z-1=3z+10

Solution for 2z+6+2z-1=3z+10 equation:

Simplifying
2z + 6 + 2z + -1 = 3z + 10

Reorder the terms:
6 + -1 + 2z + 2z = 3z + 10

Combine like terms: 6 + -1 = 5
5 + 2z + 2z = 3z + 10

Combine like terms: 2z + 2z = 4z
5 + 4z = 3z + 10

Reorder the terms:
5 + 4z = 10 + 3z

Solving
5 + 4z = 10 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
5 + 4z + -3z = 10 + 3z + -3z

Combine like terms: 4z + -3z = 1z
5 + 1z = 10 + 3z + -3z

Combine like terms: 3z + -3z = 0
5 + 1z = 10 + 0
5 + 1z = 10

Add '-5' to each side of the equation.
5 + -5 + 1z = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 10 + -5
1z = 10 + -5

Combine like terms: 10 + -5 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5