Final Answer: No Solution. 4(3x + 2) = 4(2x + 3) + 4x has 0 solutions.
Steps/Reasons/Explanations:
Hey there! 8 = 12 would have No Solution because 8 doesn't equal 12. An example of 1 solution is 12 = 12.
Question: How many solutions does 4(3x + 2) = 4(2x + 3) + 4x have?
Step 1: Expand.
![12x + 8 = 8x + 12 + 4x](https://img.qammunity.org/2021/formulas/mathematics/high-school/u80wfogevfpk3v86n7l3xtcagbtvyojp3b.png)
Step 2: Simplify
to
.
![12x + 8 = 12x + 12](https://img.qammunity.org/2021/formulas/mathematics/high-school/x6007uhb2o7ur1luk808ul1jzz4dcvumg6.png)
Step 3: Subtract
on both sides.
![8 = 12](https://img.qammunity.org/2021/formulas/mathematics/high-school/5fo4aopsi83lwze5424bhrcmnmbf432fb4.png)
Step 4: Because
is false, there is no solution.
No Solution
~I hope I helped you :)~