SOLUTION: 1. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number. x + 7 – 8x – 9 ≥ 3(x – 7)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 1. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number. x + 7 – 8x – 9 ≥ 3(x – 7)       Log On


   



Question 62699: 1. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
x + 7 – 8x – 9 ≥ 3(x – 7)

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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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