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

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


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

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

Reorder the terms:
-8 + 8b = 5(4 + b) + 8
-8 + 8b = (4 * 5 + b * 5) + 8
-8 + 8b = (20 + 5b) + 8

Reorder the terms:
-8 + 8b = 20 + 8 + 5b

Combine like terms: 20 + 8 = 28
-8 + 8b = 28 + 5b

Solving
-8 + 8b = 28 + 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.
-8 + 8b + -5b = 28 + 5b + -5b

Combine like terms: 8b + -5b = 3b
-8 + 3b = 28 + 5b + -5b

Combine like terms: 5b + -5b = 0
-8 + 3b = 28 + 0
-8 + 3b = 28

Add '8' to each side of the equation.
-8 + 8 + 3b = 28 + 8

Combine like terms: -8 + 8 = 0
0 + 3b = 28 + 8
3b = 28 + 8

Combine like terms: 28 + 8 = 36
3b = 36

Divide each side by '3'.
b = 12

Simplifying
b = 12

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