4z+6=2z+3

Solution for 4z+6=2z+3 equation:

Simplifying
4z + 6 = 2z + 3

Reorder the terms:
6 + 4z = 2z + 3

Reorder the terms:
6 + 4z = 3 + 2z

Solving
6 + 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.
6 + 4z + -2z = 3 + 2z + -2z

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

Combine like terms: 2z + -2z = 0
6 + 2z = 3 + 0
6 + 2z = 3

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

Combine like terms: 6 + -6 = 0
0 + 2z = 3 + -6
2z = 3 + -6

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

Divide each side by '2'.
z = -1.5

Simplifying
z = -1.5