To solve for x, we first need to get rid of the fractions. We can do this by multiplying every term of the equation by the least common denominator (LCD), which in this case is 4.
Multiply every term of the equation by 4 to eliminate the fractions:
4 * (1/4) + 4 * (1/2x) = 4 * 4
Simplifying the equation gives:
1 + 2/x = 16
Next, subtract 1 from both sides of the equation to isolate the term with x:
2/x = 16 - 1
2/x = 15
To solve for x, we can multiply both sides of the equation by x/2:
(x/2) * (2/x) = (15) * (x/2)
The x in the numerator and the denominator cancel out on the left side, leaving us with:
1 = 15/2 * x
Now, divide both sides of the equation by 15/2:
1 / (15/2) = (15/2 * x) / (15/2)
This simplifies to:
2/15 = x
Therefore, the solution to the equation is x = 2/15.
Solve for x
1/4 + 1/2x = 4
1 answer
1 answer