Question

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

Answer 1

Answer:  x = 12

==============================================================

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

Answer 2

Answer:

$x = 12$

Step-by-step explanation:

$\frac{x}{2} - \frac{x}{3} = \frac{x}{4} -1$

Taking x/4 on both sides:

$\frac{x}{2} - \frac{x}{3} - \frac{x}{4} = \frac{x}{4} - 1 - \frac{x}{4}$

$\frac{x}{2} - \frac{x}{3} - \frac{x}{4} = - 1$

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

$12*(\frac{x}{2} - \frac{x}{3} - \frac{x}{4}) = - 12$

$6x - 4x - 3x = -12$

$-x = -12$

$x = 12$