4(z+3)=(2z+3)

Solution for 4(z+3)=(2z+3) equation:

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

Reorder the terms:
4(3 + z) = (2z + 3)
(3 * 4 + z * 4) = (2z + 3)
(12 + 4z) = (2z + 3)

Reorder the terms:
12 + 4z = (3 + 2z)

Remove parenthesis around (3 + 2z)
12 + 4z = 3 + 2z

Solving
12 + 4z = 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.
12 + 4z + -2z = 3 + 2z + -2z

Combine like terms: 4z + -2z = 2z
12 + 2z = 3 + 2z + -2z

Combine like terms: 2z + -2z = 0
12 + 2z = 3 + 0
12 + 2z = 3

Add '-12' to each side of the equation.
12 + -12 + 2z = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 2z = 3 + -12
2z = 3 + -12

Combine like terms: 3 + -12 = -9
2z = -9

Divide each side by '2'.
z = -4.5

Simplifying
z = -4.5