5b-2=4b+7

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Solution for 5b-2=4b+7 equation:


Simplifying
5b + -2 = 4b + 7

Reorder the terms:
-2 + 5b = 4b + 7

Reorder the terms:
-2 + 5b = 7 + 4b

Solving
-2 + 5b = 7 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
-2 + 5b + -4b = 7 + 4b + -4b

Combine like terms: 5b + -4b = 1b
-2 + 1b = 7 + 4b + -4b

Combine like terms: 4b + -4b = 0
-2 + 1b = 7 + 0
-2 + 1b = 7

Add '2' to each side of the equation.
-2 + 2 + 1b = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 1b = 7 + 2
1b = 7 + 2

Combine like terms: 7 + 2 = 9
1b = 9

Divide each side by '1'.
b = 9

Simplifying
b = 9

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