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12-2/3x=x-18 so how do you answer this question

2 Answers

4 votes

Answer:

x = 18

Explanation:


12-(2)/(3)x=x-18\qquad\text{subtract 12 from both sides}\\\\12-12-(2)/(3)x=x-18-12\\\\-(2)/(3)x=x-30\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\left(-(2)/(3\!\!\!\!\diagup_1)x\right)=3\cdot x-3\cdot30\\\\-2x=3x-90\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-2x-3x=3x-3x-90\\\\-5x=-90\qquad\text{divide both sides by (-5)}\\\\(-5x)/(-5)=(-90)/(-5)\\\\x=18

User Eugene Beliaev
by
8.4k points
6 votes

Answer:

x=18

Explanation:

12-2/3x=x-18

12-2/3x-x=-18

12-2/3x-3/3x=-18

12-5/3x=-18

5/3x=12-(-18)

5/3x=12+18

5/3x=30

x=30/(5/3)

x=(30/1)(3/5)

x=90/5

x=18

User Dickeylth
by
7.6k points

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