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

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

GPT-4o mini · Answer

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.