2z+6=4z-3

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

Simplifying
2z + 6 = 4z + -3

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

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

Solving
6 + 2z = -3 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
6 + 2z + -4z = -3 + 4z + -4z

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

Combine like terms: 4z + -4z = 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 = -9
-2z = -9

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

Simplifying
z = 4.5