5b-2=3b+7

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Solution for 5b-2=3b+7 equation:


Simplifying
5b + -2 = 3b + 7

Reorder the terms:
-2 + 5b = 3b + 7

Reorder the terms:
-2 + 5b = 7 + 3b

Solving
-2 + 5b = 7 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-2 + 5b + -3b = 7 + 3b + -3b

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

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

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

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

Combine like terms: 7 + 2 = 9
2b = 9

Divide each side by '2'.
b = 4.5

Simplifying
b = 4.5

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