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-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:

the value of x is, 14

Step-by-step explanation:

The distributive property says that:

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

Given the equation:

\(\frac{-1}{5}(x-4) = -2\)

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