Question

Solve the following equation for x:

8x - 8 = -4x + 16-100

x =

Answer 1

Let's solve the equation step-by-step:

The equation is:

\[
8x - 8 = -4x + 16 - 100
\]

First, simplify the right side of the equation:

\[
16 - 100 = -84
\]

So the equation becomes:

\[
8x - 8 = -4x - 84
\]

Next, we can add \(4x\) to both sides to get all the \(x\) terms on one side:

\[
8x + 4x - 8 = -84
\]

This simplifies to:

\[
12x - 8 = -84
\]

Now, add \(8\) to both sides:

\[
12x = -84 + 8
\]

This simplifies to:

\[
12x = -76
\]

Next, divide both sides by \(12\):

\[
x = \frac{-76}{12}
\]

We can simplify this fraction:

\[
x = \frac{-19}{3}
\]

Thus, the solution for \(x\) is:

\[
\boxed{-\frac{19}{3}}
\]