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

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

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

Reorder the terms:
-2(-3 + z) + -4(4 + -5z) = 2z
(-3 * -2 + z * -2) + -4(4 + -5z) = 2z
(6 + -2z) + -4(4 + -5z) = 2z
6 + -2z + (4 * -4 + -5z * -4) = 2z
6 + -2z + (-16 + 20z) = 2z

Reorder the terms:
6 + -16 + -2z + 20z = 2z

Combine like terms: 6 + -16 = -10
-10 + -2z + 20z = 2z

Combine like terms: -2z + 20z = 18z
-10 + 18z = 2z

Solving
-10 + 18z = 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.
-10 + 18z + -2z = 2z + -2z

Combine like terms: 18z + -2z = 16z
-10 + 16z = 2z + -2z

Combine like terms: 2z + -2z = 0
-10 + 16z = 0

Add '10' to each side of the equation.
-10 + 10 + 16z = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 16z = 0 + 10
16z = 0 + 10

Combine like terms: 0 + 10 = 10
16z = 10

Divide each side by '16'.
z = 0.625

Simplifying
z = 0.625