Question

Is 2(6-3x) + x equivalent to 2(3x) + x

Answer 1

Answer: When "x = 1" ; "2(6-3x) + x" DOES EQUAL "2(3x) + x" .
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2(6-3x) + x = 12 - 6x + x = 12 - 5x ;

2(3x) + x = 6x + x = 7x ;

Does: 12 - 5x = 7x ?

Add "5x" to each side of equation:

12 - 5x + 5x = 7x + 5x ;

to get:

12 = 7x + 5x ;

12 = 12x ;

Divide each side of the equation by "12" ;

12 / 12 = 12x / 12 ;

to get: 1 = x ; ↔ x= 1 ;
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Answer: "When "x = 1" ; "2(6-3x) + x" DOES EQUAL "2(3x) + x" .
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Answer 2

NO. You cannot subtract 3x from 6, since they are NOT like terms.
You can think of it as the 6 does not have an x term, but in 3x, there is an x term.