Question

An equation is shown below:

Answer 1

Part A: first multiply 2 by x and -3, then combine the like terms, after that add 6 from both sides, then subtract 6x from both side, the answer is -5.
 4x + 2(x-3) = 4x + 2x - 11
          4x +2x -6 = 4x + 2x - 11
           6x -6 = 6x - 11
           6x = 6x -11 +6
         6x = 6x -5
          6x-6x= -5 
         0 = -5 
 part B) add the like terms

Answer 2

Answer:  There is no solution to the equation ad we have used distributive property to solve the equation.

Step-by-step explanation:  The given equation is

$4x+2(x-3)=4x+2x-11.$

PART A:

The solution of the above equation is as follows:

$4x+2(x-3)=4x+2x-11\\\\\Rightarrow 4x+2x-6=6x-11\\\\\Rightarrow 6x-6=6x-11\\\\\Rightarrow -6=-11,$

which cannot be TRUE.

So, the equation will not have any solution.

PART B: We have used DISTRIBUTIVE PROPERTY to solve the equation, which states that

for any real numbers a, b and c

(i) a(b + c) = ab + ac,

(ii) (a + b)c = ac + bc.

Thus, there is no solution to the equation ad we have used distributive property to solve the equation.