3b+12=5(b-7)+13

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Solution for 3b+12=5(b-7)+13 equation:


Simplifying
3b + 12 = 5(b + -7) + 13

Reorder the terms:
12 + 3b = 5(b + -7) + 13

Reorder the terms:
12 + 3b = 5(-7 + b) + 13
12 + 3b = (-7 * 5 + b * 5) + 13
12 + 3b = (-35 + 5b) + 13

Reorder the terms:
12 + 3b = -35 + 13 + 5b

Combine like terms: -35 + 13 = -22
12 + 3b = -22 + 5b

Solving
12 + 3b = -22 + 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 = -22 + 5b + -5b

Combine like terms: 3b + -5b = -2b
12 + -2b = -22 + 5b + -5b

Combine like terms: 5b + -5b = 0
12 + -2b = -22 + 0
12 + -2b = -22

Add '-12' to each side of the equation.
12 + -12 + -2b = -22 + -12

Combine like terms: 12 + -12 = 0
0 + -2b = -22 + -12
-2b = -22 + -12

Combine like terms: -22 + -12 = -34
-2b = -34

Divide each side by '-2'.
b = 17

Simplifying
b = 17

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