2b+36=3(6+b)+5b

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Solution for 2b+36=3(6+b)+5b equation:


Simplifying
2b + 36 = 3(6 + b) + 5b

Reorder the terms:
36 + 2b = 3(6 + b) + 5b
36 + 2b = (6 * 3 + b * 3) + 5b
36 + 2b = (18 + 3b) + 5b

Combine like terms: 3b + 5b = 8b
36 + 2b = 18 + 8b

Solving
36 + 2b = 18 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
36 + 2b + -8b = 18 + 8b + -8b

Combine like terms: 2b + -8b = -6b
36 + -6b = 18 + 8b + -8b

Combine like terms: 8b + -8b = 0
36 + -6b = 18 + 0
36 + -6b = 18

Add '-36' to each side of the equation.
36 + -36 + -6b = 18 + -36

Combine like terms: 36 + -36 = 0
0 + -6b = 18 + -36
-6b = 18 + -36

Combine like terms: 18 + -36 = -18
-6b = -18

Divide each side by '-6'.
b = 3

Simplifying
b = 3

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