2b+12=5b-15

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Solution for 2b+12=5b-15 equation:


Simplifying
2b + 12 = 5b + -15

Reorder the terms:
12 + 2b = 5b + -15

Reorder the terms:
12 + 2b = -15 + 5b

Solving
12 + 2b = -15 + 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 + 2b + -5b = -15 + 5b + -5b

Combine like terms: 2b + -5b = -3b
12 + -3b = -15 + 5b + -5b

Combine like terms: 5b + -5b = 0
12 + -3b = -15 + 0
12 + -3b = -15

Add '-12' to each side of the equation.
12 + -12 + -3b = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -3b = -15 + -12
-3b = -15 + -12

Combine like terms: -15 + -12 = -27
-3b = -27

Divide each side by '-3'.
b = 9

Simplifying
b = 9

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