Respuesta :

We need to put all the xs on one side. We can always move an expression to the other side if we change the sign:

4x-12x=32

now we add up:

-8x=32

divide by 8:

-x=4

multiply by -1:

x=-4, which is the solution
Steps:

1) We have to keep the [tex]x[/tex]'s on one side. For simplification can only occur between [tex]x[/tex] with each other.

2) We have to keep the number on other side. Be careful that you do not simplify it with the [tex]x[/tex].

Simply, group the like terms and simplify.

Methods:

[tex]4x=12x+32[/tex]

=> [tex]4x-12x=12x-12x+32[/tex]

=> [tex]-8x = 0+32[/tex]

=> [tex]-8x=32[/tex]

=> [tex] \frac{-8x}{-8} = -\frac{32}{8} [/tex]

=> [tex]x=-4[/tex]

or, (do side changing)

[tex]4x=12x+32[/tex]

=> [tex]4x-12x=32[/tex]

=> [tex]-8x=32[/tex]

=> [tex]x= \frac{32}{-8} [/tex]

=> [tex]x=-4[/tex]

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HOPE THAT HELPS YOU!! :-)))