Answer :

To solve the equation [tex]\(\frac{x}{5} = \frac{20}{50}\)[/tex], we follow these steps:

1. Simplify the fraction on the right:

The fraction [tex]\(\frac{20}{50}\)[/tex] can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 10:

[tex]\[
\frac{20 \div 10}{50 \div 10} = \frac{2}{5}
\][/tex]

So, the equation becomes:

[tex]\[
\frac{x}{5} = \frac{2}{5}
\][/tex]

2. Solve for [tex]\(x\)[/tex]:

Since the fractions are equal and have the same denominator, their numerators must be equal as well. Therefore:

[tex]\[
x = 2
\][/tex]

So, the value of [tex]\(x\)[/tex] is [tex]\(2\)[/tex].

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