Question

X/2 − x/3 = x/4 − 1
What is x
Plz answer fast

Answer 1

`x = 12`

Explanation:

`(x)/(2) - (x)/(3) = (x)/(4) -1`

Taking x/4 on both sides:

`(x)/(2) - (x)/(3) - (x)/(4) = (x)/(4) - 1 - (x)/(4)`

`(x)/(2) - (x)/(3) - (x)/(4) = - 1`

The least common denominator of the fractions (left hand side) is 12. Now, denominators can be simplified by multiplying by 12 on both sides:

`12*((x)/(2) - (x)/(3) - (x)/(4)) = - 12`

`6x - 4x - 3x = -12`

`-x = -12`

`x = 12`

Answer 2

Answer: x = 12

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Work Shown:

Multiply both sides by the LCD 12 to clear out the fractions. Afterward, solve for x

x/2 - x/3 = x/4 - 1

12(x/2 - x/3) = 12(x/4 - 1)

12(x/2) + 12(-x/3) = 12(x/4) + 12(-1) ... distribute

6x - 4x = 3x - 12

2x = 3x - 12

2x-3x = 3x - 12-3x ... subtract 3x from both sides

-x = -12

x = 12