7(z+2)-2(z-3)=2(z-3)+2(z-1)

Solution for 7(z+2)-2(z-3)=2(z-3)+2(z-1) equation:

Simplifying
7(z + 2) + -2(z + -3) = 2(z + -3) + 2(z + -1)

Reorder the terms:
7(2 + z) + -2(z + -3) = 2(z + -3) + 2(z + -1)
(2 * 7 + z * 7) + -2(z + -3) = 2(z + -3) + 2(z + -1)
(14 + 7z) + -2(z + -3) = 2(z + -3) + 2(z + -1)

Reorder the terms:
14 + 7z + -2(-3 + z) = 2(z + -3) + 2(z + -1)
14 + 7z + (-3 * -2 + z * -2) = 2(z + -3) + 2(z + -1)
14 + 7z + (6 + -2z) = 2(z + -3) + 2(z + -1)

Reorder the terms:
14 + 6 + 7z + -2z = 2(z + -3) + 2(z + -1)

Combine like terms: 14 + 6 = 20
20 + 7z + -2z = 2(z + -3) + 2(z + -1)

Combine like terms: 7z + -2z = 5z
20 + 5z = 2(z + -3) + 2(z + -1)

Reorder the terms:
20 + 5z = 2(-3 + z) + 2(z + -1)
20 + 5z = (-3 * 2 + z * 2) + 2(z + -1)
20 + 5z = (-6 + 2z) + 2(z + -1)

Reorder the terms:
20 + 5z = -6 + 2z + 2(-1 + z)
20 + 5z = -6 + 2z + (-1 * 2 + z * 2)
20 + 5z = -6 + 2z + (-2 + 2z)

Reorder the terms:
20 + 5z = -6 + -2 + 2z + 2z

Combine like terms: -6 + -2 = -8
20 + 5z = -8 + 2z + 2z

Combine like terms: 2z + 2z = 4z
20 + 5z = -8 + 4z

Solving
20 + 5z = -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.
20 + 5z + -4z = -8 + 4z + -4z

Combine like terms: 5z + -4z = 1z
20 + 1z = -8 + 4z + -4z

Combine like terms: 4z + -4z = 0
20 + 1z = -8 + 0
20 + 1z = -8

Add '-20' to each side of the equation.
20 + -20 + 1z = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 1z = -8 + -20
1z = -8 + -20

Combine like terms: -8 + -20 = -28
1z = -28

Divide each side by '1'.
z = -28

Simplifying
z = -28