Question

WHICH equation has the same solution as4-2(x-5)=x-19

Answer 1

Solution of equation 4-2(x-5)=x-19 is given below .

Step-by-step explanation:

4-2(x-5)=x-19  

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4-2*(x-5)-(x-19)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (4 -  2 • (x - 5)) -  (x - 19)  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

 33 - 3x  =   -3 • (x - 11)  

Equation at the end of step  3  :

 -3 • (x - 11)  = 0  

Step  4  :

Equations which are never true :

4.1      Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    x-11 = 0  

Add  11  to both sides of the equation :  

                     x = 11

One solution was found :

                  x = 11

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