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 = 8b
50 + -15b = 149 + 8b

Solving
50 + -15b = 149 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
50 + -15b + -8b = 149 + 8b + -8b

Combine like terms: -15b + -8b = -23b
50 + -23b = 149 + 8b + -8b

Combine like terms: 8b + -8b = 0
50 + -23b = 149 + 0
50 + -23b = 149

Add '-50' to each side of the equation.
50 + -50 + -23b = 149 + -50

Combine like terms: 50 + -50 = 0
0 + -23b = 149 + -50
-23b = 149 + -50

Combine like terms: 149 + -50 = 99
-23b = 99

Divide each side by '-23'.
b = -4.304347826

Simplifying
b = -4.304347826

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