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