Question

Solve for x.
−1/5(x−4)=−2
Enter your answer in the box

Answer 1

-1/5(x-4)=-2
(Distribute -1/5)
-1/5x + 4/5 = -2
(-4/5 from both sides)
-1/5x = -2 4/5
(Divide both sides by -1/5)
x = 14

Answer 2

the value of x is, 14

Explanation:

The distributive property says that:

`a \cdot (b+c) = a\cdot b+ a\cdot c`

Given the equation:

`(-1)/(5)(x-4) = -2`

Multiply both sides by 5 we have;

`-1(x-4) = -10`

Apply the distributive property:

`-x + 4 = -10`

Subtract 4 from both sides we have;

`-x = -14`

Multiply both sides by -1 we have;

x = 14

Therefore, the value of x is, 14