b+3=-2b+5b-7

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


Simplifying
b + 3 = -2b + 5b + -7

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

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

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

Solving
3 + 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.
3 + b + -3b = -7 + 3b + -3b

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

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

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

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

Combine like terms: -7 + -3 = -10
-2b = -10

Divide each side by '-2'.
b = 5

Simplifying
b = 5

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