Consider the equation x + 4 = 3x + 2.
a. show that adding x + 2 to both sides of the equation does not change the solution set.
b. show that multiplying both sides of the equation by x + 2 adds a second solution of x = -2 to the solution
set.

Step-by-step explanation:

Given

(a)x+4=3x+2

x=1

adding x+2 both sides we get

x+4+x+2=3x+2+x+2

2x+6=4x+4

2x=2

x=1

so adding x+2 does not change solution of equation

(b)

thus x=-2 adds in the solution of the Equation

10x

step-by-step explanation:

the greatest common factor 30 and 20 is 10

5 is a common factor of 30 and 20 but 10 is also a factor and 10 is greater than 5 so 5 will definitely not be apart of our answer

now the most amount of x's you factor our is just 1 factor of 1

so 10x the gcf of the terms in the polynomial