I was trying to solve for X in the equation 4/3 - 4/x = 3x-2/ 3x. I got -1 but I know the answer isnt right. Can someone help me fix my mistake? Thank you
Did you list it correctly? I'm getting a totally messed up answer.
Yes I did
multipy both sides by 3x
4x-12=3x-2
subtract 3x from both sides, add 12 to both sides.
x=10
To solve the equation (4/3) - (4/x) = (3x - 2) / (3x) for x, we need to get rid of the fractions.
First, let's find a common denominator for all the fractions. The least common multiple of 3, x, and 3x is 3x.
Multiplying all the terms in the equation by 3x will eliminate the fractions.
(3x) * [ (4/3) - (4/x) ] = (3x) * ( (3x - 2) / (3x) )
Now, distribute the 3x to each term inside the brackets:
4x - (4x/x) = 3x - 2
Simplifying further:
4x - 4 = 3x - 2
Next, we want to isolate the terms with x on one side of the equation.
Subtract 3x from both sides:
4x - 3x - 4 = 3x - 3x - 2
Simplifying further:
x - 4 = -2
Finally, isolate x by adding 4 to both sides:
x - 4 + 4 = -2 + 4
Simplifying further:
x = 2
Therefore, the correct solution to the equation is x = 2, not -1.