2(-2z+3)=3(5z+2)

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

Simplifying
2(-2z + 3) = 3(5z + 2)

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

Reorder the terms:
6 + -4z = 3(2 + 5z)
6 + -4z = (2 * 3 + 5z * 3)
6 + -4z = (6 + 15z)

Add '-6' to each side of the equation.
6 + -6 + -4z = 6 + -6 + 15z

Combine like terms: 6 + -6 = 0
0 + -4z = 6 + -6 + 15z
-4z = 6 + -6 + 15z

Combine like terms: 6 + -6 = 0
-4z = 0 + 15z
-4z = 15z

Solving
-4z = 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-4z + -15z = 15z + -15z

Combine like terms: -4z + -15z = -19z
-19z = 15z + -15z

Combine like terms: 15z + -15z = 0
-19z = 0

Divide each side by '-19'.
z = 0

Simplifying
z = 0