Question

Solve 1/2 (b + 6) = 3/2b - 1

Answer 1

To solve the equation 1/2 (b + 6) = 3/2b - 1, distribute and combine like terms on both sides to isolate b and find that b equals 4.

Step-by-step explanation:

Solving the given equation

To solve the equation 1/2 (b + 6) = 3/2b - 1, we need to carry out several steps. First, expand the bracket on the left side of the equation:

1/2 × b + 1/2 × 6 = 3/2b - 1

which simplifies to:

1/2b + 3 = 3/2b - 1

To isolate b, we first subtract 1/2b from both sides:

3 = 3/2b - 1 - 1/2b

Combining like terms gives us:

3 = b - 1

Now, add 1 to both sides to isolate b:

b = 4

Thus, the solution to the equation is b = 4.