[8(b+5)-18]+[3(b-3)+1]=

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Solution for [8(b+5)-18]+[3(b-3)+1]= equation:


Simplifying
[8(b + 5) + -18] + [3(b + -3) + 1] = 0

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

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

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

Remove brackets around [22 + 8b]
22 + 8b + [3(b + -3) + 1] = 0

Reorder the terms:
22 + 8b + [3(-3 + b) + 1] = 0
22 + 8b + [(-3 * 3 + b * 3) + 1] = 0
22 + 8b + [(-9 + 3b) + 1] = 0

Reorder the terms:
22 + 8b + [-9 + 1 + 3b] = 0

Combine like terms: -9 + 1 = -8
22 + 8b + [-8 + 3b] = 0

Remove brackets around [-8 + 3b]
22 + 8b + -8 + 3b = 0

Reorder the terms:
22 + -8 + 8b + 3b = 0

Combine like terms: 22 + -8 = 14
14 + 8b + 3b = 0

Combine like terms: 8b + 3b = 11b
14 + 11b = 0

Solving
14 + 11b = 0

Solving for variable 'b'.

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

Add '-14' to each side of the equation.
14 + -14 + 11b = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 11b = 0 + -14
11b = 0 + -14

Combine like terms: 0 + -14 = -14
11b = -14

Divide each side by '11'.
b = -1.272727273

Simplifying
b = -1.272727273

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