Solve for x .

− x/4−2=−10

1 answer

To solve the equation \(-\frac{x}{4} - 2 = -10\), follow these steps:

  1. First, isolate the term with \(x\) by adding 2 to both sides of the equation:

\[ -\frac{x}{4} - 2 + 2 = -10 + 2 \]

This simplifies to:

\[ -\frac{x}{4} = -8 \]

  1. Next, multiply both sides by -1 to eliminate the negative sign:

\[ \frac{x}{4} = 8 \]

  1. Now, multiply both sides by 4 to solve for \(x\):

\[ x = 8 \times 4 \]

This gives:

\[ x = 32 \]

Thus, the solution is:

\[ \boxed{32} \]