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

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

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

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

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

Solving
-6 + 4z = -15 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-6 + 4z + 3z = -15 + -3z + 3z

Combine like terms: 4z + 3z = 7z
-6 + 7z = -15 + -3z + 3z

Combine like terms: -3z + 3z = 0
-6 + 7z = -15 + 0
-6 + 7z = -15

Add '6' to each side of the equation.
-6 + 6 + 7z = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 7z = -15 + 6
7z = -15 + 6

Combine like terms: -15 + 6 = -9
7z = -9

Divide each side by '7'.
z = -1.285714286

Simplifying
z = -1.285714286