Answer:
no solution
Step-by-step explanation:
Given
[tex]\frac{x-2}{2}[/tex] + [tex]\frac{x-2(x-4)}{6}[/tex] = [tex]\frac{x}{3}[/tex]
Multiply through by 6 ( the LCM of 2, 6, 3 ) to clear the fractions
3(x - 2) + x - 2(x - 4) = 2x ← distribute parenthesis on left side
3x - 6 + x - 2x + 8 = 2x
2x + 2 = 2x ( subtract 2 from both sides )
2x = 2x - 2 ( subtract 2x from both sides )
0 = - 2 ← not possible
This indicates the equation has no solution
