2z+3=3z+6

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

Simplifying
2z + 3 = 3z + 6

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

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

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

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

Combine like terms: 3z + -3z = 0
3 + -1z = 6 + 0
3 + -1z = 6

Add '-3' to each side of the equation.
3 + -3 + -1z = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -1z = 6 + -3
-1z = 6 + -3

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

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

Simplifying
z = -3