Answer:
x = 24
Step-by-step explanation:
Given
[tex]\frac{x}{2}[/tex] - [tex]\frac{x}{3}[/tex] = [tex]\frac{x}{4}[/tex] - [tex]\frac{x}{6}[/tex] + 2
Multiply through by the lowest common multiple of 2, 3, 4 and 6
That is multiply through by 12
6x - 4x = 3x - 2x + 24, that is
2x = x + 24 ( subtract x from both sides )
x = 24
