Question

What is the value of b in the equation 3b + 2(b - 1) =8

Answer 1

The value of b is 2

EXPLANATION

The given linear equation in b is

`3b + 2(b - 1) = 8`

We expand to get:

`3b + 2b - 2= 8`

We now group similar terms to obtain:

`3b + 2b = 8 + 2`

Combine the similar terms now to obtain:

`5b = 10`

Divide both sides by 5 to get:

`b = (10)/(5)`

This simplifies to:

`b = 2`

Answer 2

b = 2

Explanation:

In order to find the value of b, we have to isolate b on one side of equation first

So,

`3b+2(b-1)=8`

Multiplying 2 with b-1

`3b+2b-2=8\\5b-2=8`

Adding 2 on both sides

`5b-2+2=8+2\\5b=10`

Dividing by 5 on both sides

`(5b)/(5)=(10)/(5) \\b=2`

So the value of b is 2 ..