2(z+1)=3z+3

Solution for 2(z+1)=3z+3 equation:

Simplifying
2(z + 1) = 3z + 3

Reorder the terms:
2(1 + z) = 3z + 3
(1 * 2 + z * 2) = 3z + 3
(2 + 2z) = 3z + 3

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

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

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

Combine like terms: 3z + -3z = 0
2 + -1z = 3 + 0
2 + -1z = 3

Add '-2' to each side of the equation.
2 + -2 + -1z = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -1z = 3 + -2
-1z = 3 + -2

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

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

Simplifying
z = -1