Respuesta :

Answer:

x = -12

Explanations:

Given the following equation

[tex]-\frac{1}{2}x=6[/tex]

We are to find the variable x. To do that, we will multiply both sides by -2 as shown:

[tex]\begin{gathered} -\frac{1}{2}x\times-2=6\times-2 \\ x=6\times-2 \\ x=-12 \end{gathered}[/tex]

This shows that the value of x for the equation to be true is -12

Check

If x = -12, on substiituting;

[tex]\begin{gathered} =-\frac{1}{2}(-12) \\ =\frac{-12}{-2} \\ =\text{ 6} \end{gathered}[/tex]

Since the result is equivalent to 6, this shows that the solution x = -12 is correct.

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