this is an algebraic expression I'm very confused on how these are supposed to be
this is an algebraic expression I'm very confused on how these are supposed to be
I am thinking that this problem is stumping you because of the fraction 3/8. It is a common problem for people. Just remember that when you get the number with a variable alone on one side, all that you have to do is multiply both sides by the inverted number that is with the variable. In this case, 3/8x would be multiplied by 8/3, so that 1x or x is what is left.
8/3 x 3/8x = 1 x 8/3
x = 8/3
To show you a different example, let's use a whole number. If the problem had been 3x - 8 = -7, then you would be doing 3x = 1. Think of the whole number 3 as being 3/1, so when you invert it, it would be 1/3. So, 1/3 x 3x = 1 x 1/3; thus, x = 1/3.
Don't let the fraction or whole number throw you. If you always think of the number that is with the variable as a fraction, then it is easier to see how it can be inverted.
I hope this helps.
The easiest way is to re-write the equation so it is easier to follow.
(3/8x) -8 = -7
if we add "8" to both sides of the equation, we get:
(3/8x) = 1
We then multiply each side of the equation by 8/3:
x = 8/3
By following through on the division, we see that:
x = 2 2/3
I would take this a step further since your answer is an improper fraction (the numerator is larger than or equal to the denominator).
8/3 = 3/3 + 3/3 + 2/3
= 1 + 1 + 2/3
= 2 2/3
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