Question

Solve for x in the equation?

a/(2x-c) = -1

Answer 1

`(c-a)/(2)`

Explanation:

given
`(a)/(2x-c)` = - 1 ( cross- multiply )

- (2x - c ) = a ( distribute left side )

- 2x + c = a ( subtract c from both sides )

- 2x = a - c ( multiply both sides by - 1 )

2x = c - a ( divide both sides by 2 )

x =
`(c-a)/(2)`

Answer 2

x =
`((a - c))/(-2)`

Explanation:

a/(2x-c) = -1

The first step is to multiply both sides by (2x - c)

(2x - c)a/(2x-c) = -1(2x - c)

a = -2x + c

a - c = -2x + c - c

a - c = -2x

Divide both side by -2

(a - c)/-2 = x

∴ x =
`((a - c))/(-2)`