# Math - Find the Mistake

by Kelsea
(FL)

Find the Mistake: Provided below is a solution to the equation 8x + 7 - 2x = 27 - 2. Choose the statement that is true about the given solution.
Line # 8x + 7 - 2x = 27 - 2
1 6x + 7 = 25
2 x + 7 = 19
3 x = 12

### Comments for Math - Find the Mistake

 Dec 29, 2011 Find the Mistake by: Staff Question: by Kelsea (FL) Find the Mistake: Provided below is a solution to the equation 8x + 7 - 2x = 27 - 2. Choose the statement that is true about the given solution. Line # 8x + 7 - 2x = 27 - 2 1 6x + 7 = 25 2 x + 7 = 19 3 x = 12 Answer: Line 1 is correct 6x + 7 = 25, correct Lines 2 and 3 are incorrect x + 7 = 19, incorrect 3 x = 12, incorrect The correct solution is shown below: 8x + 7 - 2x = 27 - 2 Combine like terms on both the left and right side of the equation 8x + 7 - 2x = 27 - 2 8x + 7 - 2x = 25 8x - 2x + 7 = 25 6x + 7 = 25, this is the same as line 1 in the problem statement Subtract 7 from each side of the equation. This eliminates the 7 on the left side of the equation. 6x + 7 = 25 6x + 7 - 7 = 25 - 7 6x + 0 = 25 - 7 6x = 25 - 7 6x = 18 Divide each side of the equation by 6. This eliminates the 6 on the left side of the equation. 6x/6 = 18/6 x*(6/6) = 18/6 x*(1) = 18/6 x = 18/6 x = 3 the correct answer: x = 3 check the answer: substitute 3 for every x in the original equation 8x + 7 - 2x = 27 - 2 8*3 + 7 - 2*3 = 27 - 2 24 + 7 - 6 = 27 - 2 25 = 27 - 2 25 = 25, OK → x = 3 is a VALID solution Thanks for writing. Staff www.solving-math-problems.com

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