Question

Write and solve an equation to find the number.

The difference between 2 times a number x and 8 is -30.

(2 points)
Equation:

x=

Answer 1

To set up the equation based on the given statement, we can translate it as follows:

The difference between 2 times a number \( x \) and 8 is -30.

This can be written as:

\[ 2x - 8 = -30 \]

Now, we can solve for \( x \).

1. Add 8 to both sides of the equation:

\[ 2x - 8 + 8 = -30 + 8 \]
\[ 2x = -22 \]

2. Divide both sides by 2:

\[ x = \frac{-22}{2} \]
\[ x = -11 \]

So the equation simplifies to:

**Equation:**
\[ 2x - 8 = -30 \]

**Solution:**
\[ x = -11 \]