Question

Solve for x: 7/8-1/x=3/4
x = 1

x = 2

x = 4

x = 8

Answer 1

9514 1404 393

Answer:

x = 8

Explanation:

`(7)/(8)-(1)/(x)=(3)/(4)\\\\7x-8=6x\qquad\text{multiply by $8x$ to clear fractions}\\\\\boxed{x=8}\qquad\text{add $8-6x$}`

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If you don't mind dealing with fractions, you can add 1/x -3/4 to get ...

7/8 -3/4 = 1/x

1/8 = 1/x . . . . . . . simplify

x = 8 . . . . . . . . . . take reciprocals; equivalently, multiply by 8x.