SOLUTION: -4‌ 3x – 7 ‌ = -20

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Question 180763: -4‌ 3x – 7 ‌ = -20

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-4%2Aabs%283x-7%29=-20 Start with the given equation


abs%283x-7%29=5 Divide both sides by -4



Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

3x-7=-5 or 3x-7=5 Set the expression 3x-7 equal to the original value 5 and it's opposite -5




Now lets focus on the first equation 3x-7=-5


3x=-5%2B7Add 7 to both sides


3x=2 Combine like terms on the right side


x=%282%29%2F%283%29 Divide both sides by 3 to isolate x



x=2%2F3 Reduce






Now lets focus on the second equation 3x-7=5



3x=5%2B7Add 7 to both sides


3x=12 Combine like terms on the right side


x=%2812%29%2F%283%29 Divide both sides by 3 to isolate x



x=4 Divide





So the solutions to -4%2Aabs%283x-7%29=-20 are:

x=2%2F3 and x=4