8-3(4b-1)=2(b-5)+3b

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Solution for 8-3(4b-1)=2(b-5)+3b equation: 


Simplifying
8 + -3(4b + -1) = 2(b + -5) + 3b

Reorder the terms:
8 + -3(-1 + 4b) = 2(b + -5) + 3b
8 + (-1 * -3 + 4b * -3) = 2(b + -5) + 3b
8 + (3 + -12b) = 2(b + -5) + 3b

Combine like terms: 8 + 3 = 11
11 + -12b = 2(b + -5) + 3b

Reorder the terms:
11 + -12b = 2(-5 + b) + 3b
11 + -12b = (-5 * 2 + b * 2) + 3b
11 + -12b = (-10 + 2b) + 3b

Combine like terms: 2b + 3b = 5b
11 + -12b = -10 + 5b

Solving
11 + -12b = -10 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
11 + -12b + -5b = -10 + 5b + -5b

Combine like terms: -12b + -5b = -17b
11 + -17b = -10 + 5b + -5b

Combine like terms: 5b + -5b = 0
11 + -17b = -10 + 0
11 + -17b = -10

Add '-11' to each side of the equation.
11 + -11 + -17b = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -17b = -10 + -11
-17b = -10 + -11

Combine like terms: -10 + -11 = -21
-17b = -21

Divide each side by '-17'.
b = 1.235294118

Simplifying
b = 1.235294118

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