5(10-3b)=105-8b+4(11b-4b)

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Solution for 5(10-3b)=105-8b+4(11b-4b) equation: 


Simplifying
5(10 + -3b) = 105 + -8b + 4(11b + -4b)
(10 * 5 + -3b * 5) = 105 + -8b + 4(11b + -4b)
(50 + -15b) = 105 + -8b + 4(11b + -4b)

Combine like terms: 11b + -4b = 7b
50 + -15b = 105 + -8b + 4(7b)

Remove parenthesis around (7b)
50 + -15b = 105 + -8b + 4 * 7b

Multiply 4 * 7
50 + -15b = 105 + -8b + 28b

Combine like terms: -8b + 28b = 20b
50 + -15b = 105 + 20b

Solving
50 + -15b = 105 + 20b

Solving for variable 'b'.

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

Add '-20b' to each side of the equation.
50 + -15b + -20b = 105 + 20b + -20b

Combine like terms: -15b + -20b = -35b
50 + -35b = 105 + 20b + -20b

Combine like terms: 20b + -20b = 0
50 + -35b = 105 + 0
50 + -35b = 105

Add '-50' to each side of the equation.
50 + -50 + -35b = 105 + -50

Combine like terms: 50 + -50 = 0
0 + -35b = 105 + -50
-35b = 105 + -50

Combine like terms: 105 + -50 = 55
-35b = 55

Divide each side by '-35'.
b = -1.571428571

Simplifying
b = -1.571428571

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