Question

6 − x = 5x + 30

Answer 1

Do I add x by itself on the left side?

Answer 2

6-30=5x+x
-24=6x
x=-4

Answer 3

How did 30 go to the left?

Answer 4

\[6-x=5x+30\]
-x is also written as -1x, so;
\[6-1x=5x+30\]
Now add 1x to both sides;
\[6-1x+1x=5x+30+1x\]
Which turns to;
\[6=6x+30\]
Now we will subtract 30 from both sides;
\[6-30=6x+30-30\]
Which turns to;
\[-24=6x\]
Next we will divide both sides by 6 to get x alone;
\[\frac{ -24 }{ 6 }=\frac{ 6x }{ 6 }\]
\[-4=x\]or\[x=-4\]