b+2=3b-7

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


Simplifying
b + 2 = 3b + -7

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

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

Solving
2 + b = -7 + 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 + b + -3b = -7 + 3b + -3b

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

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

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

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

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

Divide each side by '-2'.
b = 4.5

Simplifying
b = 4.5

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