Given:
The equation is
![(3x)/(7)+(2)/(7)=2](https://img.qammunity.org/2022/formulas/mathematics/high-school/nd3enbe9yyvfsflkv0jew6zjj5g0olpv3s.png)
To find:
The simpler equivalent form and solve the given equation.
Solution:
We have,
![(3x)/(7)+(2)/(7)=2](https://img.qammunity.org/2022/formulas/mathematics/high-school/nd3enbe9yyvfsflkv0jew6zjj5g0olpv3s.png)
It can be written as
![(3x+2)/(7)=2](https://img.qammunity.org/2022/formulas/mathematics/high-school/6pyuw1rhikyetffk9pluvwzayap88x84kp.png)
Multiply both sides by 7.
![3x+2=14](https://img.qammunity.org/2022/formulas/mathematics/high-school/g5fu82u6c5rl87epe8etkwddawzcnyi3ma.png)
![3x=14-2](https://img.qammunity.org/2022/formulas/mathematics/high-school/txwgz68ssaxelxjvglofqy403yjxq7uh3r.png)
![3x=12](https://img.qammunity.org/2022/formulas/mathematics/high-school/hfo6zo5o0p9uo85v4d39ofst1zxsz7jio1.png)
Divide both sides by 3.
![x=(12)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/k4xff2avm5fhrb8azdg3uzsl8lryvqb2xd.png)
![x=4](https://img.qammunity.org/2022/formulas/mathematics/high-school/lp82zoco0xlpxlhep3s8xzw5somhig1a8c.png)
Therefore, the simpler equivalent form of the given equation is
and the solution is x=4.