Respuesta :

yersanabria

Answer:

The solution of the equation is:

  • x = 25.

Step-by-step explanation:

To solve the equation:

  • [tex]\frac{3x}{5}+5=20[/tex]

First, you must add the terms 3x/5 and 5:

  • [tex]\frac{3x+25}{5}=20[/tex]

Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:

  • 3x + 25 = 20 * 5
  • 3x + 25 = 100

Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:

  • 3x = 100 - 25
  • 3x = 75

At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:

  • [tex]x=\frac{75}{3}[/tex]
  • x = 25

If we use this value in the original equation, we can prove if it's the correct:

  • [tex]\frac{3x}{5}+5=20[/tex]
  • [tex]\frac{3*25}{5}+5=20[/tex]
  • [tex]\frac{75}{5}+5=20[/tex]
  • [tex]15+5=20[/tex]
  • 20 = 20

As you can see, the result x = 25 is the correct.

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