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

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

Simplifying
5z + -2(3 + z) = 2(4 + -2z)
5z + (3 * -2 + z * -2) = 2(4 + -2z)
5z + (-6 + -2z) = 2(4 + -2z)

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

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

Solving
-6 + 3z = 8 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-6 + 3z + 4z = 8 + -4z + 4z

Combine like terms: 3z + 4z = 7z
-6 + 7z = 8 + -4z + 4z

Combine like terms: -4z + 4z = 0
-6 + 7z = 8 + 0
-6 + 7z = 8

Add '6' to each side of the equation.
-6 + 6 + 7z = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 7z = 8 + 6
7z = 8 + 6

Combine like terms: 8 + 6 = 14
7z = 14

Divide each side by '7'.
z = 2

Simplifying
z = 2