Question

Solve for x in the equation? a/(2x-c) = -1

Answer 1

Answer:

x = $\frac{(a - c)}{-2}$

Step-by-step 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 = $\frac{(a - c)}{-2}$

Answer 2

Answer:

$\frac{c-a}{2}$

Step-by-step explanation:

given $\frac{a}{2x-c}$ = - 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 = $\frac{c-a}{2}$