Question
What two steps are needed to solve this equation?%0D%0A%0D%0A12+58x=27%0D%0A12%0D%0A+%0D%0A5%0D%0A8%0D%0A𝑥%0D%0A=%0D%0A27%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ASubtract 12 and multiply by 58%0D%0A5%0D%0A8%0D%0A, x=24%0D%0A𝑥%0D%0A=%0D%0A24%0D%0A Subtract 12 and multiply by 5 eighths, x is equal to 24%0D%0A%0D%0ASubtract 12 and divide by 85%0D%0A8%0D%0A5%0D%0A, x=24%0D%0A𝑥%0D%0A=%0D%0A24%0D%0A Subtract 12 and divide by 8 fifths, x is equal to 24%0D%0A%0D%0ASubtract 12 and multiply by 85%0D%0A8%0D%0A5%0D%0A, x=24%0D%0A𝑥%0D%0A=%0D%0A24%0D%0ASubtract 12 and multiply by 8 fifths, x is equal to 24%0D%0A%0D%0ASubtract 12 and subtract 58%0D%0A5%0D%0A8%0D%0A, x=24
Answers
GPT-4o mini
To solve the equation \( 12 + \frac{58}{8} x = 27 \), the two steps you would need to follow are:
1. **Subtract 12 from both sides** to isolate the term with \( x \):
\[
\frac{58}{8} x = 27 - 12
\]
This simplifies to:
\[
\frac{58}{8} x = 15
\]
2. **Multiply by the reciprocal of \( \frac{58}{8} \)** (which is \( \frac{8}{58} \)) to solve for \( x \):
\[
x = 15 \times \frac{8}{58}
\]
After calculating this, you can find the value of \( x \).
From the provided responses, it seems like there is confusion between different versions of arithmetic involving \( 58 \) and \( 8 \).
However, the correct path to isolate \( x \) suggested in the options might sound similar to ”Subtract 12 and multiply by \( \frac{8}{58} \)” to solve for \( x \).
Thus, a correct option based on your thought process should lead towards:
- **Subtract 12** and then **Multiply by** \( \frac{8}{58} \) or its reciprocal depending on how it is stated.
Verify your calculations by plugging the resultant value for \( x \) back into the original equation.
1. **Subtract 12 from both sides** to isolate the term with \( x \):
\[
\frac{58}{8} x = 27 - 12
\]
This simplifies to:
\[
\frac{58}{8} x = 15
\]
2. **Multiply by the reciprocal of \( \frac{58}{8} \)** (which is \( \frac{8}{58} \)) to solve for \( x \):
\[
x = 15 \times \frac{8}{58}
\]
After calculating this, you can find the value of \( x \).
From the provided responses, it seems like there is confusion between different versions of arithmetic involving \( 58 \) and \( 8 \).
However, the correct path to isolate \( x \) suggested in the options might sound similar to ”Subtract 12 and multiply by \( \frac{8}{58} \)” to solve for \( x \).
Thus, a correct option based on your thought process should lead towards:
- **Subtract 12** and then **Multiply by** \( \frac{8}{58} \) or its reciprocal depending on how it is stated.
Verify your calculations by plugging the resultant value for \( x \) back into the original equation.