Solve for xx.
start fraction, 4, divided by, x, end fraction, minus, start fraction, 3, x, plus, 7, divided by, 10, x, end fraction, equals, 3
x
4
−
10x
3x+7
=3
To solve this equation, we can cross-multiply:
(4/x) - (3x + 7)/(10x) = 3
Multiplying both sides by 10x, we get:
40 - 3(x + 7) = 30x
Expanding the brackets:
40 - 3x - 21 = 30x
Combining like terms:
19 - 3x = 30x
Adding 3x to both sides:
19 = 33x
Dividing both sides by 33:
x = 19/33
To solve for x in the given equation, we need to eliminate the fractions first. Here's how we can do that:
1. Multiply every term in the equation by the lowest common denominator (LCD) of the fractions, which is 10x:
10x * (4/x) - 10x * ((3x + 7) / (10x)) = 10x * 3
Simplifying the equation gives us:
40 - 3x - 7 = 30x
2. Combine like terms:
40 - 7 - 3x = 30x
33 - 3x = 30x
3. Bring the x terms to one side of the equation by adding 3x to both sides:
33 - 3x + 3x = 30x + 3x
33 = 33x
4. Finally, divide both sides by 33 to isolate x:
33/33 = 33x/33
1 = x
So the solution to the equation is x = 1.
To solve for x in the equation:
(start fraction 4 divided by x end fraction) minus (start fraction 3x plus 7 divided by 10x end fraction) = 3
We first need to simplify the equation:
4/x - (3x + 7)/(10x) = 3
To get rid of the denominators, we need to find a common denominator for the fractions. In this case, the common denominator is 10x:
(40 - (3x + 7))/(10x) = 3
Now, let's simplify further:
(40 - 3x - 7)/(10x) = 3
(33 - 3x)/(10x) = 3
To eliminate the fraction, we can cross-multiply:
33 - 3x = 30x
Now, let's solve for x:
33 = 30x + 3x
33 = 33x
To isolate x, let's divide both sides of the equation by 33:
33/33 = 33x/33
1 = x
Therefore, x = 1.