5z+12=(2z+6)+(4z-3)

Solution for 5z+12=(2z+6)+(4z-3) equation:

Simplifying
5z + 12 = (2z + 6) + (4z + -3)

Reorder the terms:
12 + 5z = (2z + 6) + (4z + -3)

Reorder the terms:
12 + 5z = (6 + 2z) + (4z + -3)

Remove parenthesis around (6 + 2z)
12 + 5z = 6 + 2z + (4z + -3)

Reorder the terms:
12 + 5z = 6 + 2z + (-3 + 4z)

Remove parenthesis around (-3 + 4z)
12 + 5z = 6 + 2z + -3 + 4z

Reorder the terms:
12 + 5z = 6 + -3 + 2z + 4z

Combine like terms: 6 + -3 = 3
12 + 5z = 3 + 2z + 4z

Combine like terms: 2z + 4z = 6z
12 + 5z = 3 + 6z

Solving
12 + 5z = 3 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
12 + 5z + -6z = 3 + 6z + -6z

Combine like terms: 5z + -6z = -1z
12 + -1z = 3 + 6z + -6z

Combine like terms: 6z + -6z = 0
12 + -1z = 3 + 0
12 + -1z = 3

Add '-12' to each side of the equation.
12 + -12 + -1z = 3 + -12

Combine like terms: 12 + -12 = 0
0 + -1z = 3 + -12
-1z = 3 + -12

Combine like terms: 3 + -12 = -9
-1z = -9

Divide each side by '-1'.
z = 9

Simplifying
z = 9