1/5 + 3/25x - 3 = 2 3/5
The answer would be 45
Thank You
To solve this equation for x, we need to simplify both sides of the equation and isolate the variable x.
First, let's simplify the left side of the equation:
1/5 + 3/25x - 3
To add fractions with different denominators, we need to find the least common denominator (LCD), which is the smallest multiple that both denominators can evenly divide into.
The least common denominator (LCD) of 5 and 25 is 25. We can rewrite the fractions with the denominator of 25:
(1/5) can be rewritten as (5/25), and (3/25x) remains the same.
Now, we can add the fractions:
(5/25) + (3/25x) - 3
Combining the fractions, we get:
(5 + 3) / 25x - 3
This simplifies to:
8 / 25x - 3
Now, let's simplify the right side of the equation:
2 3/5
To convert the mixed number to an improper fraction, we multiply the whole number (2) by the denominator (5) and add the numerator (3). The result becomes the new numerator with the same denominator as the fractional part:
2 * 5 + 3 = 10 + 3 = 13
13/5
Now, our equation becomes:
8 / 25x - 3 = 13/5
To isolate the variable x, we need to get rid of the fractions. To do this, we can multiply both sides of the equation by the LCD, which is 25x (since it includes the denominator of our fraction):
(8 / 25x) - 3 * 25x = (13/5) * 25x
This simplifies to:
8 - 75x = 65x
Next, let's gather the x terms on one side and the constant terms on the other side:
75x + 65x = 8
Combining like terms, we get:
140x = 8
Finally, divide both sides by 140 to solve for x:
140x / 140 = 8 / 140
This gives us:
x = 8/140
Further simplifying the fraction, we can divide the numerator and denominator by 4:
x = 2/35
Therefore, the solution to the equation is x = 2/35.