5b+2-b=5(b-1)+3

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Solution for 5b+2-b=5(b-1)+3 equation: 


Simplifying
5b + 2 + -1b = 5(b + -1) + 3

Reorder the terms:
2 + 5b + -1b = 5(b + -1) + 3

Combine like terms: 5b + -1b = 4b
2 + 4b = 5(b + -1) + 3

Reorder the terms:
2 + 4b = 5(-1 + b) + 3
2 + 4b = (-1 * 5 + b * 5) + 3
2 + 4b = (-5 + 5b) + 3

Reorder the terms:
2 + 4b = -5 + 3 + 5b

Combine like terms: -5 + 3 = -2
2 + 4b = -2 + 5b

Solving
2 + 4b = -2 + 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.
2 + 4b + -5b = -2 + 5b + -5b

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

Combine like terms: 5b + -5b = 0
2 + -1b = -2 + 0
2 + -1b = -2

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

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

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

Divide each side by '-1'.
b = 4

Simplifying
b = 4

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