Answer:
the value of x is, 14
Step-by-step explanation:
The distributive property says that:
[tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
Given the equation:
[tex]\frac{-1}{5}(x-4) = -2[/tex]
Multiply both sides by 5 we have;
[tex]-1(x-4) = -10[/tex]
Apply the distributive property:
[tex]-x + 4 = -10[/tex]
Subtract 4 from both sides we have;
[tex]-x = -14[/tex]
Multiply both sides by -1 we have;
x = 14
Therefore, the value of x is, 14
