12-(b+5)+5b-5=b+11

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Solution for 12-(b+5)+5b-5=b+11 equation:


Simplifying
12 + -1(b + 5) + 5b + -5 = b + 11

Reorder the terms:
12 + -1(5 + b) + 5b + -5 = b + 11
12 + (5 * -1 + b * -1) + 5b + -5 = b + 11
12 + (-5 + -1b) + 5b + -5 = b + 11

Reorder the terms:
12 + -5 + -5 + -1b + 5b = b + 11

Combine like terms: 12 + -5 = 7
7 + -5 + -1b + 5b = b + 11

Combine like terms: 7 + -5 = 2
2 + -1b + 5b = b + 11

Combine like terms: -1b + 5b = 4b
2 + 4b = b + 11

Reorder the terms:
2 + 4b = 11 + b

Solving
2 + 4b = 11 + 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.
2 + 4b + -1b = 11 + b + -1b

Combine like terms: 4b + -1b = 3b
2 + 3b = 11 + b + -1b

Combine like terms: b + -1b = 0
2 + 3b = 11 + 0
2 + 3b = 11

Add '-2' to each side of the equation.
2 + -2 + 3b = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 3b = 11 + -2
3b = 11 + -2

Combine like terms: 11 + -2 = 9
3b = 9

Divide each side by '3'.
b = 3

Simplifying
b = 3

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