Let's solve the equations given one by one.
First Equation: [tex]\(20x = 95\)[/tex]
To isolate [tex]\(x\)[/tex], divide both sides by 20:
[tex]\[ x = \frac{95}{20} \][/tex]
By performing the division, we get:
[tex]\[ x = 4.75 \][/tex]
Second Equation: [tex]\(11x = 24\)[/tex]
To isolate [tex]\(x\)[/tex], divide both sides by 11:
[tex]\[ x = \frac{24}{11} \][/tex]
By performing the division, we get:
[tex]\[ x = 2.1818181818181817 \][/tex]
Third Equation: [tex]\(x + 13 = 21\)[/tex]
To isolate [tex]\(x\)[/tex], subtract 13 from both sides:
[tex]\[ x = 21 - 13 \][/tex]
Subtracting, we get:
[tex]\[ x = 8 \][/tex]
In summary, we have found the values of [tex]\(x\)[/tex] for each equation as follows:
1. For [tex]\(20x = 95\)[/tex], [tex]\(x = 4.75\)[/tex]
2. For [tex]\(11x = 24\)[/tex], [tex]\(x = 2.1818181818181817\)[/tex]
3. For [tex]\(x + 13 = 21\)[/tex], [tex]\(x = 8\)[/tex]
Thus, the solutions to the given equations are [tex]\(x = 4.75\)[/tex], [tex]\(x = 2.1818181818181817\)[/tex], and [tex]\(x = 8\)[/tex].
