2b+3=5b+15

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Solution for 2b+3=5b+15 equation:


Simplifying
2b + 3 = 5b + 15

Reorder the terms:
3 + 2b = 5b + 15

Reorder the terms:
3 + 2b = 15 + 5b

Solving
3 + 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.
3 + 2b + -5b = 15 + 5b + -5b

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

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

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

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

Combine like terms: 15 + -3 = 12
-3b = 12

Divide each side by '-3'.
b = -4

Simplifying
b = -4

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