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

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

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

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

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

Combine like terms: 5z + -4z = 1z
-6 + 1z = -3 + -2z

Solving
-6 + 1z = -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 + 1z + 2z = -3 + -2z + 2z

Combine like terms: 1z + 2z = 3z
-6 + 3z = -3 + -2z + 2z

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

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

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

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

Divide each side by '3'.
z = 1

Simplifying
z = 1