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

Solution for 8(z+3)-3(z-4)=2(z-4)+2(z-3) equation:

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

Reorder the terms:
8(3 + z) + -3(z + -4) = 2(z + -4) + 2(z + -3)
(3 * 8 + z * 8) + -3(z + -4) = 2(z + -4) + 2(z + -3)
(24 + 8z) + -3(z + -4) = 2(z + -4) + 2(z + -3)

Reorder the terms:
24 + 8z + -3(-4 + z) = 2(z + -4) + 2(z + -3)
24 + 8z + (-4 * -3 + z * -3) = 2(z + -4) + 2(z + -3)
24 + 8z + (12 + -3z) = 2(z + -4) + 2(z + -3)

Reorder the terms:
24 + 12 + 8z + -3z = 2(z + -4) + 2(z + -3)

Combine like terms: 24 + 12 = 36
36 + 8z + -3z = 2(z + -4) + 2(z + -3)

Combine like terms: 8z + -3z = 5z
36 + 5z = 2(z + -4) + 2(z + -3)

Reorder the terms:
36 + 5z = 2(-4 + z) + 2(z + -3)
36 + 5z = (-4 * 2 + z * 2) + 2(z + -3)
36 + 5z = (-8 + 2z) + 2(z + -3)

Reorder the terms:
36 + 5z = -8 + 2z + 2(-3 + z)
36 + 5z = -8 + 2z + (-3 * 2 + z * 2)
36 + 5z = -8 + 2z + (-6 + 2z)

Reorder the terms:
36 + 5z = -8 + -6 + 2z + 2z

Combine like terms: -8 + -6 = -14
36 + 5z = -14 + 2z + 2z

Combine like terms: 2z + 2z = 4z
36 + 5z = -14 + 4z

Solving
36 + 5z = -14 + 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.
36 + 5z + -4z = -14 + 4z + -4z

Combine like terms: 5z + -4z = 1z
36 + 1z = -14 + 4z + -4z

Combine like terms: 4z + -4z = 0
36 + 1z = -14 + 0
36 + 1z = -14

Add '-36' to each side of the equation.
36 + -36 + 1z = -14 + -36

Combine like terms: 36 + -36 = 0
0 + 1z = -14 + -36
1z = -14 + -36

Combine like terms: -14 + -36 = -50
1z = -50

Divide each side by '1'.
z = -50

Simplifying
z = -50