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

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Solution for 11(z+2)-3(z-3)=4(z-3)+3(z-2) equation: 


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

Reorder the terms:
11(2 + z) + -3(z + -3) = 4(z + -3) + 3(z + -2)
(2 * 11 + z * 11) + -3(z + -3) = 4(z + -3) + 3(z + -2)
(22 + 11z) + -3(z + -3) = 4(z + -3) + 3(z + -2)

Reorder the terms:
22 + 11z + -3(-3 + z) = 4(z + -3) + 3(z + -2)
22 + 11z + (-3 * -3 + z * -3) = 4(z + -3) + 3(z + -2)
22 + 11z + (9 + -3z) = 4(z + -3) + 3(z + -2)

Reorder the terms:
22 + 9 + 11z + -3z = 4(z + -3) + 3(z + -2)

Combine like terms: 22 + 9 = 31
31 + 11z + -3z = 4(z + -3) + 3(z + -2)

Combine like terms: 11z + -3z = 8z
31 + 8z = 4(z + -3) + 3(z + -2)

Reorder the terms:
31 + 8z = 4(-3 + z) + 3(z + -2)
31 + 8z = (-3 * 4 + z * 4) + 3(z + -2)
31 + 8z = (-12 + 4z) + 3(z + -2)

Reorder the terms:
31 + 8z = -12 + 4z + 3(-2 + z)
31 + 8z = -12 + 4z + (-2 * 3 + z * 3)
31 + 8z = -12 + 4z + (-6 + 3z)

Reorder the terms:
31 + 8z = -12 + -6 + 4z + 3z

Combine like terms: -12 + -6 = -18
31 + 8z = -18 + 4z + 3z

Combine like terms: 4z + 3z = 7z
31 + 8z = -18 + 7z

Solving
31 + 8z = -18 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
31 + 8z + -7z = -18 + 7z + -7z

Combine like terms: 8z + -7z = 1z
31 + 1z = -18 + 7z + -7z

Combine like terms: 7z + -7z = 0
31 + 1z = -18 + 0
31 + 1z = -18

Add '-31' to each side of the equation.
31 + -31 + 1z = -18 + -31

Combine like terms: 31 + -31 = 0
0 + 1z = -18 + -31
1z = -18 + -31

Combine like terms: -18 + -31 = -49
1z = -49

Divide each side by '1'.
z = -49

Simplifying
z = -49

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