Question

4 (2x-6)=10x-6. solve for x

Answer 1

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

   4*(2*x-6)-(10*x-6)=0 

   2x - 6  =   2 • (x - 3) 

   8 • (x - 3) - (10x - 6) = 0 

   -2x - 18  =   -2 • (x + 9) 

 -2 • (x + 9) = 0 

Solve :    -2   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation : 
 Solve  :    x+9 = 0 

 Subtract  9  from both sides of the equation : 
                      x = -9