2b-7=5b-13

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Solution for 2b-7=5b-13 equation:


Simplifying
2b + -7 = 5b + -13

Reorder the terms:
-7 + 2b = 5b + -13

Reorder the terms:
-7 + 2b = -13 + 5b

Solving
-7 + 2b = -13 + 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 + 2b + -5b = -13 + 5b + -5b

Combine like terms: 2b + -5b = -3b
-7 + -3b = -13 + 5b + -5b

Combine like terms: 5b + -5b = 0
-7 + -3b = -13 + 0
-7 + -3b = -13

Add '7' to each side of the equation.
-7 + 7 + -3b = -13 + 7

Combine like terms: -7 + 7 = 0
0 + -3b = -13 + 7
-3b = -13 + 7

Combine like terms: -13 + 7 = -6
-3b = -6

Divide each side by '-3'.
b = 2

Simplifying
b = 2

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