Final answer:
The solution to the equation 2 + 1/5b = 3/10b is b = 20.
This is done by first combining like terms, finding a common denominator for the fractions, and then isolating b by multiplying both sides by 10.
Step-by-step explanation:
To solve for b in the equation 2 + 1/5b = 3/10b, the steps are as follows:
- Combine like terms with variable b on one side of the equation.
- Subtract 1/5b from both sides to get all the b terms on one side.
- Find a common denominator for the fractions on the right side of the equation.
- In this case, multiply the second term by 2/2 to get the same denominator.
- Simplify the right side of the equation by combining the terms: 2 = 1/10b.
- Multiply both sides of the equation by 10 to isolate b.