Question

Solve the following linear equation. Click Here for Help Video





48x+8=−6\frac{4}{8}x+8=-6
8
4
​
x+8=−6



x =x\ =x =

Answer 1

To solve the equation \( 48x + 8 = -6 \frac{4}{8}x + 8 = -6 \), we first need to clarify what is meant by \( -6 \frac{4}{8}x \).

Assuming the equation is meant to be \( 48x + 8 = -6 \) (not incorporating the fraction since it doesn't align with standard notation), let’s first simplify \( -6 \frac{4}{8}x \).

We can convert \( \frac{4}{8} \) to a simpler form:

\[
\frac{4}{8} = \frac{1}{2}
\]

So, we can rewrite the equation as:

\[
-6 \cdot \frac{1}{2}x = -3x
\]

Thus, we want to solve:

\[
48x + 8 = -3x + 8 = -6
\]

Now, let’s isolate \( x \).

1. Subtract \( 8 \) from both sides:

\[
48x = -6 - 8
\]
\[
48x = -14
\]

2. Divide by \( 48 \):

\[
x = \frac{-14}{48}
\]

3. Simplify the fraction:

\[
x = \frac{-7}{24}
\]

Therefore, the solution to the equation is:

\[
\boxed{\frac{-7}{24}}
\]