Question 62699
Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
That's the way to do it:
:
x + 7 – 8x – 9 ≥ 3(x – 7) 
:
mult what's in brackets:
x + 7 – 8x – 9 ≥ 3x – 21)
:
Combine like terms:
x - 8x + 7 - 9  ≥ 3x – 21
-7x + -2  ≥ 3x – 21 
:
Add 2 and subtract 3x from both sides:
-7x - 3x => -21 + 2
-10x => -19
:
Get rid of the neg x, mult eq by -1, this reverses the inequality sign
+10x =< +19
x =< 19/10