Question

Rewrite in a simpler equivalent form and solve

Answer 1

Given:

The equation is

$\dfrac{3x}{7}+\dfrac{2}{7}=2$

To find:

The simpler equivalent form and solve the given equation.

Solution:

We have,

$\dfrac{3x}{7}+\dfrac{2}{7}=2$

It can be written as

$\dfrac{3x+2}{7}=2$

Multiply both sides by 7.

$3x+2=14$

$3x=14-2$

$3x=12$

Divide both sides by 3.

$x=\dfrac{12}{3}$

$x=4$

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