Write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms then use x=3 to show expressions are equivalent

7x + 9

Yes they are equivalent

Step-by-step explanation:

The first expression given to us is

2x + 3 + 5x + 6

Let us call it equation (i)

Now we have to find equivalent expression to it

the given equation is 2x + 3 + 5x + 6

similar terms are terms involving x and not involving x

so solving the equation gives

2x + 5x + 3 + 6

= 7x + 9

Now we have two equations one is

2x + 3 + 5x + 6 ... (i)

Other is

7x + 9 ... (ii)

To check they are equivalent or not

Put x = 3 in equation (i)

2 (3) + 3+5 (3) + 6 = 6 + 3 + 15 + 6

=30

Now put x=3 in second equation

7 (3) + 9=21 + 9

=30

As the answer of both the equations are 30 so they are equivalent