> #mathematics , #equations , #algebra > How to isolate the value of x if 3(1-x/4)+x/5=14?
Anonymous
Mar 26

How to isolate the value of x if 3(1-x/4)+x/5=14?

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Mar 26
To isolate the value of x in the equation 3(1-x/4) + x/5 = 14, follow these steps:

1. Distribute the 3 to both terms inside the parentheses:
3 - 3x/4 + x/5 = 14

2. Combine like terms by finding a common denominator for the fractions:
(15 - 15x + 4x) / 20 = 14

3. Combine the x terms:
(15 - 11x) / 20 = 14

4. Multiply both sides by 20 to get rid of the denominator:
15 - 11x = 280

5. Subtract 15 from both sides:
-11x = 265

6. Divide by -11 to solve for x:
x = -265 / 11

Therefore, the value of x is approximately -24.09.
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