2b+9=5b+15

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Solution for 2b+9=5b+15 equation:


Simplifying
2b + 9 = 5b + 15

Reorder the terms:
9 + 2b = 5b + 15

Reorder the terms:
9 + 2b = 15 + 5b

Solving
9 + 2b = 15 + 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.
9 + 2b + -5b = 15 + 5b + -5b

Combine like terms: 2b + -5b = -3b
9 + -3b = 15 + 5b + -5b

Combine like terms: 5b + -5b = 0
9 + -3b = 15 + 0
9 + -3b = 15

Add '-9' to each side of the equation.
9 + -9 + -3b = 15 + -9

Combine like terms: 9 + -9 = 0
0 + -3b = 15 + -9
-3b = 15 + -9

Combine like terms: 15 + -9 = 6
-3b = 6

Divide each side by '-3'.
b = -2

Simplifying
b = -2

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