Respuesta :

When you solve for the first expression, 4(x+3)+2x it is equal to 6x+12 which is the same as 6(x+2). The work for it is below.

4(x+3)+2x
4x+12+2x (Add like terms)
6x+12

and

6(x+2)
6x+12 

So there for both expressions are equivalent to each other.

Answer:

Step-by-step explanation:

The given expressions are:

[tex]4(x+3)+2x[/tex] and [tex]6(x+2)[/tex]

Taking the first expression, we have

=[tex]4(x+3)+2x[/tex]

=[tex]4x+12+2x[/tex]

=[tex]6x+12[/tex]

Now, taking the second expression in order to solve it, we have

= [tex]6(x+2)[/tex]

=[tex]6x+12[/tex]

which shows that both the expressions are equivalent in nature, thus on solving the given expressions, they comes out to be equivalent.