b+13=9b-7

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Solution for b+13=9b-7 equation:


Simplifying
b + 13 = 9b + -7

Reorder the terms:
13 + b = 9b + -7

Reorder the terms:
13 + b = -7 + 9b

Solving
13 + b = -7 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
13 + b + -9b = -7 + 9b + -9b

Combine like terms: b + -9b = -8b
13 + -8b = -7 + 9b + -9b

Combine like terms: 9b + -9b = 0
13 + -8b = -7 + 0
13 + -8b = -7

Add '-13' to each side of the equation.
13 + -13 + -8b = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -8b = -7 + -13
-8b = -7 + -13

Combine like terms: -7 + -13 = -20
-8b = -20

Divide each side by '-8'.
b = 2.5

Simplifying
b = 2.5

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