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

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


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

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

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

Reorder the terms:
2 + 2b = 3(-2 + b) + 5
2 + 2b = (-2 * 3 + b * 3) + 5
2 + 2b = (-6 + 3b) + 5

Reorder the terms:
2 + 2b = -6 + 5 + 3b

Combine like terms: -6 + 5 = -1
2 + 2b = -1 + 3b

Solving
2 + 2b = -1 + 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 + 2b + -3b = -1 + 3b + -3b

Combine like terms: 2b + -3b = -1b
2 + -1b = -1 + 3b + -3b

Combine like terms: 3b + -3b = 0
2 + -1b = -1 + 0
2 + -1b = -1

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

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

Combine like terms: -1 + -2 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3

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