Question

Solve the equation and check the solution.
xplus1equalsnegative 6

Answer 1

To solve the equation \( x + 1 = -6 \), we need to isolate \( x \).

1. Subtract 1 from both sides of the equation:
\[
x + 1 - 1 = -6 - 1
\]
\[
x = -7
\]

Now that we have the solution \( x = -7 \), we will check it by substituting it back into the original equation.

**Check the solution:**
Substituting \( x = -7 \) into the equation \( x + 1 = -6 \):

\[
-7 + 1 = -6
\]

Simplifying the left side:
\[
-6 = -6
\]

Since both sides of the equation are equal, the solution \( x = -7 \) is verified to be correct.