Respuesta :

Given:

The equation is

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

To find:

The simpler equivalent form and solve the given equation.

Solution:

We have,

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

It can be written as

[tex]\dfrac{3x+2}{7}=2[/tex]

Multiply both sides by 7.

[tex]3x+2=14[/tex]

[tex]3x=14-2[/tex]

[tex]3x=12[/tex]

Divide both sides by 3.

[tex]x=\dfrac{12}{3}[/tex]

[tex]x=4[/tex]

Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.