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how can -6 divide by 4 x=12 be solved in one step

Sagot :

Heather

Here are the solving steps for the problem.

   Given:

[tex]\displaystyle \frac{-6}{4x}=12[/tex]

    [1] Multiply both sides of the equation by 4x:

[tex]\displaystyle 4x(\frac{-6}{4x})=(12)4x[/tex]

-6 = 48x

    [2] Divide both sides of the equation by 48:

[tex]\displaystyle \frac{-6}{48} = \frac{48x}{48}[/tex]

[tex]\displaystyle x=-\frac{1}{8}[/tex]

I am not sure how to solve the equation in one step, so here is it in two steps. My apologies.

princechimezirim096

Answer:

[tex] - \frac{1}{8} [/tex]

Step-by-step explanation:

The Algebraic Equation -6 divide by 4x = 12 can be stated mathematically as :

[tex] \frac{ - 6}{4x} = 12 \\ \\ cross \: multiplying \\ \\ 4x \: \times 12 = - 6 \\ \\ 48x = - 6 \\ dividing \: bothsides \: by \: 48 \\ \frac{48x}{48} = \frac{ - 6}{48} \\ \\ x = - \frac{1}{8} [/tex]

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