Question

Solve the equation. Check your answer.
negative 13equals3plus8x

Answer 1

To solve the equation \(-13 = 3 + 8x\), follow these steps:

1. **Isolate the term with \(x\)**:
Subtract 3 from both sides of the equation:

\[
-13 - 3 = 8x
\]
\[
-16 = 8x
\]

2. **Solve for \(x\)**:
Divide both sides by 8:

\[
x = \frac{-16}{8}
\]
\[
x = -2
\]

Now, let's check the answer by substituting \(x = -2\) back into the original equation:

\[
-13 = 3 + 8(-2)
\]
Calculate the right side:

\[
-13 = 3 - 16
\]
\[
-13 = -13
\]

Since both sides of the equation are equal, the solution is confirmed.

The final answer is:

\[
x = -2
\]