3b+12=7b-8

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Solution for 3b+12=7b-8 equation:


Simplifying
3b + 12 = 7b + -8

Reorder the terms:
12 + 3b = 7b + -8

Reorder the terms:
12 + 3b = -8 + 7b

Solving
12 + 3b = -8 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
12 + 3b + -7b = -8 + 7b + -7b

Combine like terms: 3b + -7b = -4b
12 + -4b = -8 + 7b + -7b

Combine like terms: 7b + -7b = 0
12 + -4b = -8 + 0
12 + -4b = -8

Add '-12' to each side of the equation.
12 + -12 + -4b = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -4b = -8 + -12
-4b = -8 + -12

Combine like terms: -8 + -12 = -20
-4b = -20

Divide each side by '-4'.
b = 5

Simplifying
b = 5

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