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37 votes
37 votes
Solve for x and explain the steps:
3x-6=4(2-3x)-8x

User Micheal
by
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1 Answer

22 votes
22 votes

Answer: x = 14/23

Explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14


(23x)/(23)=(14)/(23) --> Divide both sides by 23

x = 14/23

User Hoatzin
by
2.7k points