Answer:
[tex] x = 12[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} - \frac{x}{3} = \frac{x}{4} -1[/tex]
Taking x/4 on both sides:
[tex]\frac{x}{2} - \frac{x}{3} - \frac{x}{4} = \frac{x}{4} - 1 - \frac{x}{4}[/tex]
[tex]\frac{x}{2} - \frac{x}{3} - \frac{x}{4} = - 1[/tex]
The least common denominator of the fractions (left hand side) is 12. Now, denominators can be simplified by multiplying by 12 on both sides:
[tex]12*(\frac{x}{2} - \frac{x}{3} - \frac{x}{4}) = - 12[/tex]
[tex]6x - 4x - 3x = -12[/tex]
[tex]-x = -12[/tex]
[tex] x = 12[/tex]
