-2[5-2(2z+1)]-4=2(3-z)

Solution for -2[5-2(2z+1)]-4=2(3-z) equation:

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

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

Combine like terms: 5 + -2 = 3
-2[3 + -4z] + -4 = 2(3 + -1z)
[3 * -2 + -4z * -2] + -4 = 2(3 + -1z)
[-6 + 8z] + -4 = 2(3 + -1z)

Reorder the terms:
-6 + -4 + 8z = 2(3 + -1z)

Combine like terms: -6 + -4 = -10
-10 + 8z = 2(3 + -1z)
-10 + 8z = (3 * 2 + -1z * 2)
-10 + 8z = (6 + -2z)

Solving
-10 + 8z = 6 + -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 + 8z + 2z = 6 + -2z + 2z

Combine like terms: 8z + 2z = 10z
-10 + 10z = 6 + -2z + 2z

Combine like terms: -2z + 2z = 0
-10 + 10z = 6 + 0
-10 + 10z = 6

Add '10' to each side of the equation.
-10 + 10 + 10z = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 10z = 6 + 10
10z = 6 + 10

Combine like terms: 6 + 10 = 16
10z = 16

Divide each side by '10'.
z = 1.6

Simplifying
z = 1.6