1/5x - 3 = 1/2x - 1/5x
What's the ?
What does "?" stand for?
Multiply both sides of the equation by 10x.
2 - 15x = 5 - 2
Solve for x.
The question appears to be asking for the value of "x" in the given equation:
1/5x - 3 = 1/2x - 1/5x
To solve for "x" in this equation, we can follow these steps:
Step 1: Combine like terms
On the right side of the equation, we have 1/2x - 1/5x. To simplify, we need a common denominator. The least common denominator for 2 and 5 is 10. So, we can rewrite it as:
5/10x - 2/10x
Now the equation becomes:
1/5x - 3 = 5/10x - 2/10x
Step 2: Simplify the equation
To simplify, we can multiply through by 10 to eliminate the denominators:
10(1/5x - 3) = 10(5/10x - 2/10x)
This gives us:
2x - 30 = 5x - 2
Step 3: Isolate "x"
Next, we want to get all the "x" terms on one side of the equation and the constant terms on the other side. Let's subtract 2x from both sides of the equation:
2x - 2x - 30 = 5x - 2 - 2x
Simplifying further:
-30 = 3x - 2
Step 4: Solve for "x"
To isolate the variable "x," we add 2 to both sides of the equation:
-30 + 2 = 3x - 2 + 2
Simplifying further:
-28 = 3x
Finally, divide both sides of the equation by 3 to solve for "x":
-28 / 3 = 3x / 3
The solution is:
x = -28/3, or approximately -9.33