Question

Solve the equation. Check your answer.
negative 30equals2plus8x
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Part 1
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enter your response here ​(Simplify your​ answer.)

Answer 1

To solve the equation \(-30 = 2 + 8x\), follow these steps:

1. **Isolate the term with \(x\)**:
Subtract 2 from both sides of the equation:
\[
-30 - 2 = 8x
\]
\[
-32 = 8x
\]

2. **Solve for \(x\)**:
Divide both sides by 8:
\[
x = \frac{-32}{8}
\]
\[
x = -4
\]

So, our solution is:
\[
x = -4
\]

### Check the answer:
Substitute \(x = -4\) back into the original equation:

1. Original equation:
\[
-30 = 2 + 8(-4)
\]

2. Calculate \(8(-4)\):
\[
8(-4) = -32
\]

3. Substitute this value back into the equation:
\[
-30 = 2 - 32
\]
\[
-30 = -30
\]

Since both sides of the equation are equal, the solution \(x = -4\) is correct.

Thus, the final answer is:
\[
x = -4
\]