5b-2=2b-7

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


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

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

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

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

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-2 + 5b + -2b = -7 + 2b + -2b

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

Combine like terms: 2b + -2b = 0
-2 + 3b = -7 + 0
-2 + 3b = -7

Add '2' to each side of the equation.
-2 + 2 + 3b = -7 + 2

Combine like terms: -2 + 2 = 0
0 + 3b = -7 + 2
3b = -7 + 2

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

Divide each side by '3'.
b = -1.666666667

Simplifying
b = -1.666666667

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