When you distribute, keep track of the minus sign in front of $\frac{x+2}{6}$. aniкo.аі

After you find $x$, plug it into $2x-10$ and decide which interval contains the result (a quick decimal estimate works).

Enter

From а‌nіko.аі

• $y=(x-1)/5-(x+2)/6+(2x-3)/8$
• $y=x/10$

and find their intersection point.

Click the intersection and note the $x$-coordinate (it should be about $4.95$).

In a new line, type $2x-10$. Then substitute the intersection’s $x$-value mentally or by creating a table near that $x$-value. The result should be slightly less than $0$, so select the interval that contains a small negative number.

The least common multiple of $5,6,8$, and $10$ is $120$. Multiply both sides by $120$:

This simplifies to

Distribute:

аniко‍.aі ЅАТ Quеѕti​оn‌ Вank

Combine like terms:

Subtract $12x$ from both sides:

So

Compute:

Since $-\frac{1}{11}$ is between $-1$ and $0$, the correct choice is $-1$ and $0$.