Answer :
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.
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]