Question

What two steps are needed to solve this equation?

12+58x=27
12
+
5
8
𝑥
=
27

(1 point)
Responses

Subtract 12 and multiply by 58
5
8
, x=24
𝑥
=
24
Subtract 12 and multiply by 5 eighths, x is equal to 24

Subtract 12 and divide by 85
8
5
, x=24
𝑥
=
24
Subtract 12 and divide by 8 fifths, x is equal to 24

Subtract 12 and multiply by 85
8
5
, x=24
𝑥
=
24
Subtract 12 and multiply by 8 fifths, x is equal to 24

Subtract 12 and subtract 58
5
8
, x=24

Answer 1

To solve the equation \( 12 + \frac{58}{5}x = 27 \), you need to perform the following two steps:

1. **Subtract 12 from both sides** to isolate the term with \( x \):
\[
\frac{58}{5}x = 27 - 12 \\
\frac{58}{5}x = 15
\]

2. **Multiply by the reciprocal of \(\frac{58}{5}\)**, which is \(\frac{5}{58}\), to solve for \( x \):
\[
x = 15 \cdot \frac{5}{58} \\
x = \frac{75}{58} \\
x \approx 1.2931
\]

None of the options you provided directly state the correct solution steps, but the first step is to subtract 12, not multiply. The second step, however, involves dividing by or multiplying by the fraction related to \( x \).

Therefore, the more precise steps would be:
1. Subtract 12.
2. Multiply by the reciprocal of \(\frac{58}{5}\).

The provided responses generally seem to confuse the operations involved and the fraction itself.