How do you divide this equation?

Question

5/2x + 1/4x = 9/4 + x

Answer 1

(5/2)x + (1/4)x = 9/4 + x

add the like terms:

(5/2)x + (1/4)x = (10/4)x + (1/4)x = (11/4)x

now u have: (11/4)x = 9/4 + x

subtract x:  (11/4)x - x = (11/4)x - (4/4)x = 9/4

u get: (7/4)x = 9/4

now jus use basic algebra:

uget  7x = 9

which means x = 9/7

Answer 2

why would you want to divide it?

I assume you want to solve it?

5/2x + 1/4x = 9/4 + x

multiply by 4

10x + x = 9 + 4x

7x = 9

x = 9/7

.

Answer 3

u add like terms first

5/2x + 1/4x = 9/4 + x

multiply 5/2 by 2/2 to get the same denominator

so now it is

20/4x + 1/4x = 9/4 + x

add like terms

21/4x = 9/4 + x

subrtact x from both sides

20/4x = 9/4

then u multiply by the recprical...so it would be

20/4x times 4/20 = 9/4 times 4/20

now solve

x = 9/20

because the 4's cancel out

hoped i have helped you