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Solve the Equation - Solution and Explanation
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Hello! So...
We are given the following to solve:
Solve for x.
![6(x+3)-8=4x+2(4+x)](https://img.qammunity.org/2023/formulas/mathematics/college/es3npl8ug5hsj3ri2c4riku52dtbycxri9.png)
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1. Expand both sides of the equation.
![6(x+3)-8=6x+10](https://img.qammunity.org/2023/formulas/mathematics/college/kudjlamrrc9v9rro20lgryiq2v33jhqgav.png)
![4x+2(4+x)=6x+8](https://img.qammunity.org/2023/formulas/mathematics/college/oky1vzxeuwov5eu6e3dyr8j7nnzzg9dglp.png)
![6x+10=6x+8](https://img.qammunity.org/2023/formulas/mathematics/college/i1utgd4llaw8738mcdjh4aelzpaomj6xwb.png)
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2. Subtract 10 from both sides.
![6x+10-10=6x+8-10](https://img.qammunity.org/2023/formulas/mathematics/college/v33h9xdy42hrbgpgf4q1mw6k87h9ff6v8h.png)
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3. Simplify.
![6x=6x - 2](https://img.qammunity.org/2023/formulas/mathematics/college/jlyjc01aq922zdpcjtz91xai3xhdolqksa.png)
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4. Subtract 6x from both sides.
![6x-6x=6x-2-6x](https://img.qammunity.org/2023/formulas/mathematics/college/kjp18lmopuzafgsutrwl3o55d20d5mxttp.png)
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5. Simplify.
![0=-2](https://img.qammunity.org/2023/formulas/mathematics/college/ijhxfhnfy0efv2ua6t76zl9u3zvu671crk.png)
^Notice, the sides are not equal in the solution. This being said, there would be no solution.
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Hope this helps! If you need anything else, feel free to comment below. Thanks and good luck!