Answer :

Answer:

30

Step-by-step explanation:

Hello!

Let the unknown number be x.

Converting from English to Algebra, we are given the equation:

  • [tex]x = 10 + \frac23x[/tex]

Solve for x by isolating the variable.

Solve for x

  • [tex]x = 10 + \frac23x[/tex]      Multiply everything by 3 to remove the fraction
  • [tex]3x = 30 + 2x[/tex]     Subtract 2x from both sides
  • [tex]x = 30[/tex]

The value of that number is 30.