SOLUTION: 7|4x-13|=35 I get confused on what to do with the 7??

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Question 208109This question is from textbook glencoe mathematics
: 7|4x-13|=35 I get confused on what to do with the 7?? This question is from textbook glencoe mathematics

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

7%2Aabs%284x-13%29=35 Start with the given equation


abs%284x-13%29=5 Divide both sides by 7


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

4x-13=-5 or 4x-13=5 Set the expression 4x-13 equal to the original value 5 and it's opposite -5




Now lets focus on the first equation 4x-13=-5


4x=-5%2B13Add 13 to both sides


4x=8 Combine like terms on the right side


x=%288%29%2F%284%29 Divide both sides by 4 to isolate x


x=2 Divide

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Now lets focus on the second equation 4x-13=5


4x=5%2B13Add 13 to both sides


4x=18 Combine like terms on the right side


x=%2818%29%2F%284%29 Divide both sides by 4 to isolate x


x=9%2F2 Reduce


So the solutions are x=2 or x=9%2F2