Question

Solve 4 + 4 ( x - 2 ) = 2 ( x + 1 ) - x The question requires you to show your work

Answer 1

Answer:

x = 2

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (4+(4•(x-2)))-(2•(x+1)-x)  = 0

Step  2  :

Equation at the end of step  2  :

 (4 +  4 • (x - 2)) -  (x + 2)  = 0

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)

Equation at the end of step  4  :

 3 • (x - 2)  = 0

Step  5  :

Equations which are never true :

5.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2      Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2

One solution was found :

                  x = 2

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