Question

Solve negative 5 over 2, the whole multiplied by x minus 5 equals negative 55.

Answer 1

Answer:

Option C.

Step-by-step explanation:

The given equation is

$-\dfrac{5}{2}(x)-5=-55$

We need to find the value of x.

Add 5 on both sides.

$-\dfrac{5}{2}(x)-5+5=-55+5$

$-\dfrac{5}{2}(x)=-50$

Multiply both sides by 2.

$-5x=-100$

Divide both sides by -5.

$x=\dfrac{-100}{-5}$

$x=20$

Therefore, the correct option is C.

Answer 2

Answer:

-24

Step-by-step explanation:

$- \frac{5}{2} x \: - 5 = 55$

Multiply through by the denominator (that is, 2)

$= 2 \times ( - \frac{5}{2} x) \: - 5(2) = 55(2)$

$= - 5x - 10 = 110$

Collect like terms

$- 5x \: = 110 +10$

$- 5x = 120$

Divide through by - 5x

$\frac{ - 5x}{ - 5} = \frac{120}{ - 5}$

$x = - 24$