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

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


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

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

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

Reorder the terms:
2 + -1b = -1 + 2(-3 + b)
2 + -1b = -1 + (-3 * 2 + b * 2)
2 + -1b = -1 + (-6 + 2b)

Combine like terms: -1 + -6 = -7
2 + -1b = -7 + 2b

Solving
2 + -1b = -7 + 2b

Solving for variable 'b'.

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

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

Combine like terms: -1b + -2b = -3b
2 + -3b = -7 + 2b + -2b

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

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

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

Combine like terms: -7 + -2 = -9
-3b = -9

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

Simplifying
b = 3

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