Verified Answer :

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 \(x\)'s on one side. For simplification can only occur between \(x\) with each other.

2) We have to keep the number on other side. Be careful that you do not simplify it with the \(x\).

Simply, group the like terms and simplify.

Methods:

\(4x=12x+32\)

=> \(4x-12x=12x-12x+32\)

=> \(-8x = 0+32\)

=> \(-8x=32\)

=> \(\frac{-8x}{-8} = -\frac{32}{8}\)

=> \(x=-4\)

or, (do side changing)

\(4x=12x+32\)

=> \(4x-12x=32\)

=> \(-8x=32\)

=> \(x= \frac{32}{-8}\)

=> \(x=-4\)

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HOPE THAT HELPS YOU!! :-)))