3b+2=5b-6

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Solution for 3b+2=5b-6 equation:


Simplifying
3b + 2 = 5b + -6

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

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

Solving
2 + 3b = -6 + 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 + 3b + -5b = -6 + 5b + -5b

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

Combine like terms: 5b + -5b = 0
2 + -2b = -6 + 0
2 + -2b = -6

Add '-2' to each side of the equation.
2 + -2 + -2b = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -2b = -6 + -2
-2b = -6 + -2

Combine like terms: -6 + -2 = -8
-2b = -8

Divide each side by '-2'.
b = 4

Simplifying
b = 4

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