[8(b+5)-16]-[3(b-3)+2]=

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Solution for [8(b+5)-16]-[3(b-3)+2]= equation:


Simplifying
[8(b + 5) + -16] + -1[3(b + -3) + 2] = 0

Reorder the terms:
[8(5 + b) + -16] + -1[3(b + -3) + 2] = 0
[(5 * 8 + b * 8) + -16] + -1[3(b + -3) + 2] = 0
[(40 + 8b) + -16] + -1[3(b + -3) + 2] = 0

Reorder the terms:
[40 + -16 + 8b] + -1[3(b + -3) + 2] = 0

Combine like terms: 40 + -16 = 24
[24 + 8b] + -1[3(b + -3) + 2] = 0

Remove brackets around [24 + 8b]
24 + 8b + -1[3(b + -3) + 2] = 0

Reorder the terms:
24 + 8b + -1[3(-3 + b) + 2] = 0
24 + 8b + -1[(-3 * 3 + b * 3) + 2] = 0
24 + 8b + -1[(-9 + 3b) + 2] = 0

Reorder the terms:
24 + 8b + -1[-9 + 2 + 3b] = 0

Combine like terms: -9 + 2 = -7
24 + 8b + -1[-7 + 3b] = 0
24 + 8b + [-7 * -1 + 3b * -1] = 0
24 + 8b + [7 + -3b] = 0

Reorder the terms:
24 + 7 + 8b + -3b = 0

Combine like terms: 24 + 7 = 31
31 + 8b + -3b = 0

Combine like terms: 8b + -3b = 5b
31 + 5b = 0

Solving
31 + 5b = 0

Solving for variable 'b'.

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

Add '-31' to each side of the equation.
31 + -31 + 5b = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 5b = 0 + -31
5b = 0 + -31

Combine like terms: 0 + -31 = -31
5b = -31

Divide each side by '5'.
b = -6.2

Simplifying
b = -6.2

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