5/4x+1/8x=5/8+x
Please use parentheses
do you mean
(5/4)x
or
5/(4x) etc
5/4x+1/8x=5/8+x
10/8x + 1/8x = 5/8 + x
11/8x = 5/8 + x
11/8x + x = 5/8
19/8x = 5/8
x = (5/8) / (19/8)
x = (5/8)* (8/19)
x = 40/152 = 5/19
Asuming the problem to be
5/4x + 1/8x = 5/8 + x
(10 + 1) / 8x = (5 + 8x) / 8
ie. 11/ 8x = (8x + 5) / 8
11 = 8x (8x +5) / 8
ie. 11 = 8x ^2 + 5x
We will now have to handle it as a quadratic equation:
8x ^2 + 5x - 11 = 0
Apply the formula to get the roots:
(-b + Sqrt ( b^2 - 4ac) ) / 2a
-
Hope this clarifies enough!
If you meant
5/(4x) + 1/(8x) = 5/(8+x) then follow Kay's solution
if you meant it the way you typed it, the follow Ms. Sue's way, except I noted an error in her 3rd line, should have been ....
11/8x - x = 5/8
3/8x = 5/8
x = (5/8) / (3/8)
x = (5/8)* (8/3)
x = 40/152 = 5/3
Oops! Thanks for the correction, Reiny.
To solve the equation 5/4x + 1/8x = 5/8 + x, we need to find the value of x that satisfies the equation. Let's go step by step:
Step 1: Simplify the equation by finding a common denominator for the fractions on both sides of the equation. In this case, the least common denominator (LCD) is 8. Multiply each term by 8:
(8)(5/4x) + (8)(1/8x) = (8)(5/8) + (8)(x)
Step 2: Simplify each term on both sides:
(40/4)x + (8/8)x = 40/8 + 8x
10x + x = 5 + 8x
11x = 5 + 8x
Step 3: Combine like terms by moving all x terms to one side and the constant terms to the other side:
11x - 8x = 5
3x = 5
Step 4: Solve for x by dividing both sides of the equation by 3:
3x/3 = 5/3
x = 5/3
So, the solution to the equation 5/4x + 1/8x = 5/8 + x is x = 5/3.