2b+13=5b-5

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Solution for 2b+13=5b-5 equation:


Simplifying
2b + 13 = 5b + -5

Reorder the terms:
13 + 2b = 5b + -5

Reorder the terms:
13 + 2b = -5 + 5b

Solving
13 + 2b = -5 + 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.
13 + 2b + -5b = -5 + 5b + -5b

Combine like terms: 2b + -5b = -3b
13 + -3b = -5 + 5b + -5b

Combine like terms: 5b + -5b = 0
13 + -3b = -5 + 0
13 + -3b = -5

Add '-13' to each side of the equation.
13 + -13 + -3b = -5 + -13

Combine like terms: 13 + -13 = 0
0 + -3b = -5 + -13
-3b = -5 + -13

Combine like terms: -5 + -13 = -18
-3b = -18

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

Simplifying
b = 6

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