5z+6=2z+3

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

Simplifying
5z + 6 = 2z + 3

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

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

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

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

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

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

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

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

Divide each side by '3'.
z = -1

Simplifying
z = -1