Respuesta :

minus 12 both sides
-5x-4kx=y-12
undistribute x
x(-5-4k)=y-12
divide both sides by (-5-4k)
[tex]x=\frac{y-12}{-5-4k}[/tex]
[tex]x=\frac{12-y}{4k+5}[/tex]

Answer:

The value of the equation is [tex]x=\frac{12-y}{5+4k}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]12-5x-4kx=y[/tex]

We need to solve the provided equation for x.

Subtract 12 both side.  

[tex]12-12-5x-4kx=y-12[/tex]

[tex]-5x-4kx=y-12[/tex]

Take -x common as shown:

[tex]-x(5+4k)=y-12[/tex]

Divide both sides by 5+4k.

[tex]-x=\frac{y-12}{5+4k}[/tex]

[tex]x=\frac{-y+12}{5+4k}[/tex]

[tex]x=\frac{12-y}{5+4k}[/tex]

Hence, the value of the equation is [tex]x=\frac{12-y}{5+4k}[/tex].

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