6b-7+2b=5b+20

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Solution for 6b-7+2b=5b+20 equation:


Simplifying
6b + -7 + 2b = 5b + 20

Reorder the terms:
-7 + 6b + 2b = 5b + 20

Combine like terms: 6b + 2b = 8b
-7 + 8b = 5b + 20

Reorder the terms:
-7 + 8b = 20 + 5b

Solving
-7 + 8b = 20 + 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.
-7 + 8b + -5b = 20 + 5b + -5b

Combine like terms: 8b + -5b = 3b
-7 + 3b = 20 + 5b + -5b

Combine like terms: 5b + -5b = 0
-7 + 3b = 20 + 0
-7 + 3b = 20

Add '7' to each side of the equation.
-7 + 7 + 3b = 20 + 7

Combine like terms: -7 + 7 = 0
0 + 3b = 20 + 7
3b = 20 + 7

Combine like terms: 20 + 7 = 27
3b = 27

Divide each side by '3'.
b = 9

Simplifying
b = 9

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