# 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 :)

Dec 12, 2017

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,
$2 \left(\frac{x}{2} + 15\right) = 2 \cdot 5$
$x + 30 = 10$

In Example 8,
$5 \left(4 + \frac{x}{5}\right) = 5 \cdot 7$
$20 + x = 35$

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.