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Solve for x ÷ x+3/x+3 =1

Answer :

Step-by-step explanation:

are you sure you made no typo ?

what you wrote is

x ÷ x + 3 / x + 3 = 1

now, first remember the priorities of mathematical calculations :

1. brackets, parentheses

2. exponents

3. multiplications and divisions

4. additions and subtractions

division has several symbols : ÷, /, :, ...

so, we have in our equation 2 divisions. since we have no parentheses or exponents, we have to start with the divisions :

x ÷ x = 1 just like that ...

3 / x = 3 / x there is nothing we can solve here, we need to deal with that later.

now we need to look at the additions and possible simplifications.

so, we have so far

1 + 3 / x + 3 = 1

3 / x + 4 = 1

3 / x = -3

now, the variable x is in the denominator of the remaining fraction. we don't want that. we want it on top.

so, we need to multiply both sides by x :

x × 3 / x = x × -3

3 = -3x

and now we want to have x alone on one side of the equation, and the rest on the other side. so, we need to divide both sides by -3 :

3 / -3 = -3x / -3

-1 = x

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Rewritten by : Barada