Given the folllowing equation:
![0.2x+0.21x-0.04=8.16](https://img.qammunity.org/2023/formulas/mathematics/college/rjkdwy2hkotht6bsmw2p9svmtsuaaxml21.png)
You need to solve for "x" in order to find its value. To do this, you can follow the steps shown below:
1. You can apply the Addition property of equality by adding 0.04 to both sides of the equation:
![\begin{gathered} 0.2x+0.21x-0.04+(0.04)=8.16+(0.04) \\ 0.2x+0.21x=8.2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/smz7z9z159kjfwwiccv8r8nv2jzyuok0ou.png)
2. Now you need to add the like terms on the left side of the equation:
![0.41x=8.2](https://img.qammunity.org/2023/formulas/mathematics/college/ei1kkoh2ypvaaoch6cvy6yvv5398oubr8t.png)
3. Finally, you can apply the Division property of equality by dividing both sides of the equation by 0.41:
![\begin{gathered} (0.41x)/(0.41)=(8.2)/(0.41) \\ \\ x=20 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qhrfx2ybjk4owzs5addasb8t1340pxinal.png)
The answer is:
![x=20](https://img.qammunity.org/2023/formulas/mathematics/high-school/otvww2o09b1qyegcnswgop1y82pbf6uftp.png)