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

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


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

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

Remove parenthesis around (-5 + 3b)
-5 + 3b = (b + 7)

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

Remove parenthesis around (7 + b)
-5 + 3b = 7 + b

Solving
-5 + 3b = 7 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
-5 + 3b + -1b = 7 + b + -1b

Combine like terms: 3b + -1b = 2b
-5 + 2b = 7 + b + -1b

Combine like terms: b + -1b = 0
-5 + 2b = 7 + 0
-5 + 2b = 7

Add '5' to each side of the equation.
-5 + 5 + 2b = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 2b = 7 + 5
2b = 7 + 5

Combine like terms: 7 + 5 = 12
2b = 12

Divide each side by '2'.
b = 6

Simplifying
b = 6

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