Question
12 over x-4 = 2 and x doesnt equal 4
Answers
GPT-4o mini
To solve the equation \( \frac{12}{x - 4} = 2 \), follow these steps:
1. **Cross-multiply** to eliminate the fraction:
\[
12 = 2(x - 4)
\]
2. **Distribute** the 2:
\[
12 = 2x - 8
\]
3. **Add 8** to both sides to isolate the term with \( x \):
\[
12 + 8 = 2x
\]
\[
20 = 2x
\]
4. **Divide** both sides by 2 to solve for \( x \):
\[
x = \frac{20}{2} = 10
\]
Thus, the solution is:
\[
x = 10
\]
Since \( x \neq 4 \), this solution is valid.
1. **Cross-multiply** to eliminate the fraction:
\[
12 = 2(x - 4)
\]
2. **Distribute** the 2:
\[
12 = 2x - 8
\]
3. **Add 8** to both sides to isolate the term with \( x \):
\[
12 + 8 = 2x
\]
\[
20 = 2x
\]
4. **Divide** both sides by 2 to solve for \( x \):
\[
x = \frac{20}{2} = 10
\]
Thus, the solution is:
\[
x = 10
\]
Since \( x \neq 4 \), this solution is valid.