Jy J.

asked • 04/17/18

Three times the difference of a number, x, and fourteen is six times the sum of the same number, x, and twelve. What is the value of x?

3x-14=6x+12
 

1 Expert Answer

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Andrew M. answered • 04/17/18

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JY, you left off the parenthesis.  We are multiplying the difference of x and 14 by 3, not just the x.  Same on the other side: we are multiplying the sum of x and 12 by 6, not just the x.
 
3(x-14) = 6(x+12)
3x - 42 = 6x + 72
-42 = 3x + 72
-114 = 3x
-38 = x
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