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Question 268972: Can you explain how to get from (9((x+9)/7)-7) to ((9x+32)/7)? I keep coming up with (((9x+81)/7)-7). What step am I missing?
Answer by persian52(161)   (Show Source):
You can put this solution on YOUR website! (9((x+9)/(7))-7)
Multiply 9 by each term inside the parentheses.
(9(x+9))/(7)-7
Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 7.
(9(x+9))/(7)-7*(7)/(7)
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 7.
(9(x+9))/(7)-(7*7)/(7)
Multiply 7 by 7 to get 49.
(9(x+9))/(7)-(49)/(7)
The numerators of expressions that have equal denominators can be combined. In this case, (9(x+9))/(7) and -((49))/(7) have the same denominator of 7, so the numerators can be combined.
(9(x+9)-(49))/(7)
Simplify the numerator of the expression.
Answer: (9x+32)/(7)
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Now you know what step you missed!
Hope it helped. ☺
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