Question 315490
{{{4+3x-6=3x+2-x}}} 

Combine like terms on the left hand side 4 and -6 to give 

{{{3x-2=3x+2-x}}} 

Combine like terms on the right hand side 3x and -x to give 

{{{3x-2=2x+2}}} 

Add 2 to both sides to get 

{{{3x=2x+4}}} 

Subtract 2x from both sides to get 

{{{x =  4}}} .

Now we check: On the left hand side we have 4+3x-6 and when x is 4 this becomes 4+3*4-6= 4+12-6 = 10. On the right hand side we have 3x+2-x and when x is 4 this becomes 3*4+2-4=12+2-4=10, so we get 10 on both sides which means the solution x=4 is correct.