Question 173721
Your steps are correct, you are not watching your signs;
6x-24+4x= -2x +6
you are going to add the 6x + 4x; the minus sign goes with the 24, not the 4. The 4 is positive.
10x-24= -2x+ 6
Then you should have added the 2x to both sides, it is a negative 2, so you need to add to cancel it out;
12x-24=6
+24 +24
you would add 24 to both sides since it is negative;
12x = 30
The answer is a mixed fraction;
x = {{{30/12}}}
x = {{{2(1/5)}}}
CHECK:
6x-24+4x= -2x +6
{{{6(30/12)-24 + 4(30/12)= -2(30/12)+6}}}
{{{(180/12)-24+(120/12)=(-60/12)+6}}}
{{{(300/12)-24=(-60/12)+6}}}
{{{(300/12)+ (60/12) = 6 +24}}}
{{{(360/12)= 30}}}
30 = 30
:)