-2(z-3)-(4-5z)=2z

Solution for -2(z-3)-(4-5z)=2z equation:

Simplifying
-2(z + -3) + -1(4 + -5z) = 2z

Reorder the terms:
-2(-3 + z) + -1(4 + -5z) = 2z
(-3 * -2 + z * -2) + -1(4 + -5z) = 2z
(6 + -2z) + -1(4 + -5z) = 2z
6 + -2z + (4 * -1 + -5z * -1) = 2z
6 + -2z + (-4 + 5z) = 2z

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

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

Combine like terms: -2z + 5z = 3z
2 + 3z = 2z

Solving
2 + 3z = 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.
2 + 3z + -2z = 2z + -2z

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

Combine like terms: 2z + -2z = 0
2 + 1z = 0

Add '-2' to each side of the equation.
2 + -2 + 1z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = 0 + -2
1z = 0 + -2

Combine like terms: 0 + -2 = -2
1z = -2

Divide each side by '1'.
z = -2

Simplifying
z = -2