-2(2z+3)=2z-3

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

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

Reorder the terms:
-2(3 + 2z) = 2z + -3
(3 * -2 + 2z * -2) = 2z + -3
(-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 = -6z
-6 + -6z = -3 + 2z + -2z

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

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

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

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

Divide each side by '-6'.
z = -0.5

Simplifying
z = -0.5