Answer:
x = 12
Step-by-step explanation:
Given
[tex]\frac{3x-2}{4}[/tex] - [tex]\frac{2x-5}{3}[/tex] = [tex]\frac{1+x}{6}[/tex]
Multiply through by 12 ( the LCM of 4, 3, 6 ) to clear the fractions
3(3x - 2) - 4(2x - 5) = 2(1 + x) ← distribute parenthesis
9x - 6 - 8x + 20 = 2 + 2x
x + 14 = 2 + 2x ( subtract x from both sides )
14 = 2 + x ( subtract 2 from both sides )
12 = x
