3(z+2)=5z+6

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

Simplifying
3(z + 2) = 5z + 6

Reorder the terms:
3(2 + z) = 5z + 6
(2 * 3 + z * 3) = 5z + 6
(6 + 3z) = 5z + 6

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

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

Combine like terms: 6 + -6 = 0
0 + 3z = 6 + -6 + 5z
3z = 6 + -6 + 5z

Combine like terms: 6 + -6 = 0
3z = 0 + 5z
3z = 5z

Solving
3z = 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.
3z + -5z = 5z + -5z

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

Combine like terms: 5z + -5z = 0
-2z = 0

Divide each side by '-2'.
z = 0

Simplifying
z = 0