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Does 4(x+1)=2x+4 have a solution

1 Answer

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Answer: Yes, x = 0

Explanation:

To solve for x, we will simplify things by distributing the 4 to the (x + 1) term. This means that our new equation will be

4x + 4 = 2x + 4

Now that we have our new equation, we will isolate x by subtracting 4 from both sides. After this, we will end up with

4x = 2x

At first glance, this may seem like no solution. What number has the same value when multiplied by 2 and by 4? Well, there infact is one. This can be shown when we subtract both sides by 2x to keep x on one side, and get

2x = 0

Divide by both sides to isolate x, and you get x = 0/2 = 0.

Thus, x = 0.

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