How do you solve the equation [tex]3b + 7.1 = 2.5b + 11.5[/tex]?

3b+7.1=2.5b+11.5 First, you'd take 2.5b and subtract it from 3b
3b-2.5b+7.1=11.5
Simplify:
.5b+7.1=11.5
then, you would take 7.1, and since it is positive, subtract it from 11.5
.5b=11.5-7.1
Simplify:
.5b=4.4
Lastly, you'd take 4.4 and divide it by .5, leaving the unknown factor alone.
b=4.4/.5
Final answer:
b=8.8

Answered by twodragonsbassist | 2024-06-10

To solve the equation 3 b + 7.1 = 2.5 b + 11.5 , subtract 2.5 b from both sides to combine like terms, then move the constant by subtracting 7.1 . Finally, divide by 0.5 to find b = 8.8 .
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Answered by twodragonsbassist | 2025-02-04