[8(q+5)-18]-[2(q-4)+3]=

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Solution for [8(q+5)-18]-[2(q-4)+3]= equation:


Simplifying
[8(q + 5) + -18] + -1[2(q + -4) + 3] = 0

Reorder the terms:
[8(5 + q) + -18] + -1[2(q + -4) + 3] = 0
[(5 * 8 + q * 8) + -18] + -1[2(q + -4) + 3] = 0
[(40 + 8q) + -18] + -1[2(q + -4) + 3] = 0

Reorder the terms:
[40 + -18 + 8q] + -1[2(q + -4) + 3] = 0

Combine like terms: 40 + -18 = 22
[22 + 8q] + -1[2(q + -4) + 3] = 0

Remove brackets around [22 + 8q]
22 + 8q + -1[2(q + -4) + 3] = 0

Reorder the terms:
22 + 8q + -1[2(-4 + q) + 3] = 0
22 + 8q + -1[(-4 * 2 + q * 2) + 3] = 0
22 + 8q + -1[(-8 + 2q) + 3] = 0

Reorder the terms:
22 + 8q + -1[-8 + 3 + 2q] = 0

Combine like terms: -8 + 3 = -5
22 + 8q + -1[-5 + 2q] = 0
22 + 8q + [-5 * -1 + 2q * -1] = 0
22 + 8q + [5 + -2q] = 0

Reorder the terms:
22 + 5 + 8q + -2q = 0

Combine like terms: 22 + 5 = 27
27 + 8q + -2q = 0

Combine like terms: 8q + -2q = 6q
27 + 6q = 0

Solving
27 + 6q = 0

Solving for variable 'q'.

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

Add '-27' to each side of the equation.
27 + -27 + 6q = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 6q = 0 + -27
6q = 0 + -27

Combine like terms: 0 + -27 = -27
6q = -27

Divide each side by '6'.
q = -4.5

Simplifying
q = -4.5

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