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Finn shows his work in finding the solution to 4x+6=2+3(x+2). After checking his answer in the original equation, he found that it did not work. Where did he make a mistake?.

Sagot :

Finn had solved the bracket in an incorrect way because of which he got a wrong answer.

Here we see that the equation is

4x + 6 = 2 + 3(x + 2)

Here we see that Finn has opened the brackets to write

4x + 6 = 2 + 3x + 2

Here is the point where he made a mistake.

When we have a term that needs to be multiplied by the terms in a bracket, we need to multiply it with every term inside the bracket.

This means, that 3 needs to be multiplied with x as well as 2.

Hence we get

4x + 6 = 2 + 3x + 6

Now if we deduct 3x from both sides we will get

x + 6 = 8

Now deducting 6 from both sides gives us

x = 2

Hence the value of x is 2

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