SOLUTION: four times the difference of a number and six is five less than the number.
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Question 1200945
:
four times the difference of a number and six is five less than the number.
Answer by
math_tutor2020(3817)
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x = unknown number
x-6 = difference of a number and 6
4(x-6) = four times the previous result
The portion
four times the difference of a number and six
translates to 4(x-6)
The portion
five less than the number
translates to x-5.
Connect those two expressions with an equal sign (because of the "is" in the original sentence) to get the equation 4(x-6) = x-5.
Solve for x.
4(x-6) = x-5
4x-24 = x-5
4x-x = -5+24
3x = 19
x = 19/3