Answer:
Step-by-step explanation:
A variable represents an actual value. We may not know what value it represents, but it must represent some number.
Look at what we are given. 2(3x-5) = 6x + 8. The next step to solving this equation is using the distributive property of multiplication over addition. If you need help understanding this property, I recommend you either create a new question or ask me about it in the comments.
In any case, multiplying 2 and (3x-5) equals by the distributive property 6x -10.
So 6x-10 = 6x+8
If this is true, we can subtract 6x from both sides. If two things are equal, subtracting the same value from both sides will give two new things that are also equal.
In this case, subtracting 6x gives -10 = 8.
But -10 does not equal 8. So what does that mean? It basically means, that whatever value x represents, 6x-10 will not equal 6x+8. And if that's true, then no matter what x is, 2(3x-5) will not equal 6x+8. Not a single solution for x could satisfy this equation, so we can say that there is no solution.
