Respuesta :

Solution:

We know that:

  • Given equation: [tex]x - \frac{2}{7} = 5[/tex]

1. Add 2/7 both sides.

  • [tex]x - \frac{2}{7} = 5[/tex]
  • => [tex]x - \frac{2}{7} + \frac{2}{7} = 5 + \frac{2}{7}[/tex]
  • => [tex]x = 5 + \frac{2}{7}[/tex]

2. Make the denominators equivalent.

  • => [tex]x = 5 + \frac{2}{7}[/tex]
  • => [tex]x = \frac{5 \times 7}{7} + \frac{2}{7}[/tex]
  • => [tex]x = \frac{35}{7} + \frac{2}{7}[/tex]

3. Simplify the equation and find the value of x.

  • => [tex]x = \frac{35}{7} + \frac{2}{7}[/tex]
  • => [tex]\bold{x = \frac{37}{7} = \frac{35}{7} + \frac{2}{7} = 5 + \frac{2}{7} = 5\frac{2}{7} }[/tex]

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