Question

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

Answer 1

`- (1)/(8)`

Explanation:

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

`( - 6)/(4x) = 12 \\ \\ cross \: multiplying \\ \\ 4x \: * 12 = - 6 \\ \\ 48x = - 6 \\ dividing \: bothsides \: by \: 48 \\ (48x)/(48) = ( - 6)/(48) \\ \\ x = - (1)/(8)`

Answer 2

Here are the solving steps for the problem.

Given:

`\displaystyle (-6)/(4x)=12`

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

`\displaystyle 4x((-6)/(4x))=(12)4x`

-6 = 48x

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

`\displaystyle (-6)/(48) = (48x)/(48)`

`\displaystyle x=-(1)/(8)`

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