5b+3=7b-2

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


Simplifying
5b + 3 = 7b + -2

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

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

Solving
3 + 5b = -2 + 7b

Solving for variable 'b'.

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

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

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

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

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

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

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

Divide each side by '-2'.
b = 2.5

Simplifying
b = 2.5

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