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

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


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

Reorder the terms:
8 + -3(-3 + 4b) = 2(b + -5) + 3b
8 + (-3 * -3 + 4b * -3) = 2(b + -5) + 3b
8 + (9 + -12b) = 2(b + -5) + 3b

Combine like terms: 8 + 9 = 17
17 + -12b = 2(b + -5) + 3b

Reorder the terms:
17 + -12b = 2(-5 + b) + 3b
17 + -12b = (-5 * 2 + b * 2) + 3b
17 + -12b = (-10 + 2b) + 3b

Combine like terms: 2b + 3b = 5b
17 + -12b = -10 + 5b

Solving
17 + -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.
17 + -12b + -5b = -10 + 5b + -5b

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

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

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

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

Combine like terms: -10 + -17 = -27
-17b = -27

Divide each side by '-17'.
b = 1.588235294

Simplifying
b = 1.588235294

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