2z+6=5z-3

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

Simplifying
2z + 6 = 5z + -3

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

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

Solving
6 + 2z = -3 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 2z + -5z = -3 + 5z + -5z

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

Combine like terms: 5z + -5z = 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 = -9
-3z = -9

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

Simplifying
z = 3