5[10-3b]=105-8b+4[11-4b]

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Solution for 5[10-3b]=105-8b+4[11-4b] equation: 


Simplifying
5[10 + -3b] = 105 + -8b + 4[11 + -4b]
[10 * 5 + -3b * 5] = 105 + -8b + 4[11 + -4b]
[50 + -15b] = 105 + -8b + 4[11 + -4b]
50 + -15b = 105 + -8b + [11 * 4 + -4b * 4]
50 + -15b = 105 + -8b + [44 + -16b]

Reorder the terms:
50 + -15b = 105 + 44 + -8b + -16b

Combine like terms: 105 + 44 = 149
50 + -15b = 149 + -8b + -16b

Combine like terms: -8b + -16b = -24b
50 + -15b = 149 + -24b

Solving
50 + -15b = 149 + -24b

Solving for variable 'b'.

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

Add '24b' to each side of the equation.
50 + -15b + 24b = 149 + -24b + 24b

Combine like terms: -15b + 24b = 9b
50 + 9b = 149 + -24b + 24b

Combine like terms: -24b + 24b = 0
50 + 9b = 149 + 0
50 + 9b = 149

Add '-50' to each side of the equation.
50 + -50 + 9b = 149 + -50

Combine like terms: 50 + -50 = 0
0 + 9b = 149 + -50
9b = 149 + -50

Combine like terms: 149 + -50 = 99
9b = 99

Divide each side by '9'.
b = 11

Simplifying
b = 11

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