10b-5=7b+22

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Solution for 10b-5=7b+22 equation: 


Simplifying
10b + -5 = 7b + 22

Reorder the terms:
-5 + 10b = 7b + 22

Reorder the terms:
-5 + 10b = 22 + 7b

Solving
-5 + 10b = 22 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-5 + 10b + -7b = 22 + 7b + -7b

Combine like terms: 10b + -7b = 3b
-5 + 3b = 22 + 7b + -7b

Combine like terms: 7b + -7b = 0
-5 + 3b = 22 + 0
-5 + 3b = 22

Add '5' to each side of the equation.
-5 + 5 + 3b = 22 + 5

Combine like terms: -5 + 5 = 0
0 + 3b = 22 + 5
3b = 22 + 5

Combine like terms: 22 + 5 = 27
3b = 27

Divide each side by '3'.
b = 9

Simplifying
b = 9

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