Respuesta :

Answer:

x = 3.8

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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

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