12.

Solve the equation.

5x – 4 = 5(x – 3) + 11
(1 point)


Sagot :

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

                     5*x-4-(5*(x-3)+11)=0 

Step  1  :Simplify 5x-4 - 5x-4 Pulling out like terms : 1.1      Pull out     5x-4 

After pulling out, we are left with : 
      (5x-4) • ( 1 +( (-1) ))
Equation at the end of step  1  : 0 = 0 step 2 :
Solve 0 = 0 Equations which are always true : 2.1    Solve   0  = 0This equation is a tautology (Something which is always true)

[tex] 5x- 4 = 5(x- 3) + 11 \\ 5x - 4 = 5x - 15 + 11 \\ 5x -5x = 4 - 15 + 11 \\ 0=0[/tex]
x = Real numbers