5b-13=7b+7

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Solution for 5b-13=7b+7 equation:


Simplifying
5b + -13 = 7b + 7

Reorder the terms:
-13 + 5b = 7b + 7

Reorder the terms:
-13 + 5b = 7 + 7b

Solving
-13 + 5b = 7 + 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.
-13 + 5b + -7b = 7 + 7b + -7b

Combine like terms: 5b + -7b = -2b
-13 + -2b = 7 + 7b + -7b

Combine like terms: 7b + -7b = 0
-13 + -2b = 7 + 0
-13 + -2b = 7

Add '13' to each side of the equation.
-13 + 13 + -2b = 7 + 13

Combine like terms: -13 + 13 = 0
0 + -2b = 7 + 13
-2b = 7 + 13

Combine like terms: 7 + 13 = 20
-2b = 20

Divide each side by '-2'.
b = -10

Simplifying
b = -10

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