Solve the following equation for x:

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

x =

1 answer

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:

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