Question

Describe the similarities and differences in solving example 6? Example 6: x/2+15=5 X=40 Example 8: 4+x/5=7 x=15 *Please check if I solved example 6 correctly. Thanks so much :)

Answer 1

You are doing example 6 in a wrong way. See the explanations.

Explanation:

Both equations have similarities that the coefficient of `x` is a fraction.

Then, you should multiply both sides by the denominator to make the problem easier.
In Example 6,
`2(x/2+15)=2*5`
`x+30=10`

In Example 8,
`5(4+x/5)=5*7`
`20+x=35`

The difference lies in whether `x` is positive or negative.
In Example 6, substract 30 from both sides.
`x+30-30=10-30`
`x=-20`

Example 8 is correct. Then, how can we get to the answer `x=15`? I will leave it unexplained for your practice.