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------------------------------------------------ ```markdown
[tex]
\[
\begin{array}{l}
50x = 20 \\
x = \frac{20}{50} \\
x = \frac{2}{5}
\end{array}
\]
\]

Is the solution for [tex]x[/tex] greater or less than 1?
```

To solve the equation [tex]$ 50x = 20 $[/tex] for [tex]$ x $[/tex], follow these steps:

1. Isolate the variable:
We need to get [tex]$ x $[/tex] by itself on one side of the equation. To do this, we can divide both sides of the equation by 50.
[tex]\[
50x = 20
\][/tex]
[tex]\[
x = \frac{20}{50}
\][/tex]

2. Simplify the fraction:
Now, simplify the fraction [tex]$ \frac{20}{50} $[/tex]. Both the numerator (20) and the denominator (50) can be divided by their greatest common divisor, which is 10.
[tex]\[
x = \frac{20 \div 10}{50 \div 10} = \frac{2}{5}
\][/tex]

3. Convert to decimal form:
The fraction [tex]$ \frac{2}{5} $[/tex] can be converted to a decimal by performing the division.
[tex]\[
x = 0.4
\][/tex]

So, the solution for [tex]$ x $[/tex] is [tex]$ 0.4 $[/tex].

Next, we need to determine if the solution [tex]$ x = 0.4 $[/tex] is greater than or less than 1.

4. Compare [tex]$ x $[/tex] to 1:
[tex]\[
0.4 \, \text{(x)} < 1
\][/tex]

Since [tex]$ 0.4 $[/tex] is less than 1, we can say that the solution for [tex]$ x $[/tex] is less than 1.