3b+12=5b-40

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Solution for 3b+12=5b-40 equation: 


Simplifying
3b + 12 = 5b + -40

Reorder the terms:
12 + 3b = 5b + -40

Reorder the terms:
12 + 3b = -40 + 5b

Solving
12 + 3b = -40 + 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.
12 + 3b + -5b = -40 + 5b + -5b

Combine like terms: 3b + -5b = -2b
12 + -2b = -40 + 5b + -5b

Combine like terms: 5b + -5b = 0
12 + -2b = -40 + 0
12 + -2b = -40

Add '-12' to each side of the equation.
12 + -12 + -2b = -40 + -12

Combine like terms: 12 + -12 = 0
0 + -2b = -40 + -12
-2b = -40 + -12

Combine like terms: -40 + -12 = -52
-2b = -52

Divide each side by '-2'.
b = 26

Simplifying
b = 26

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