Question

Solve 3x-2/4 - 2x-5/3 = 1+x/6

Answer 1

Answer:

x = 3.8

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Answer 2

Answer:

x = 12

Step-by-step explanation:

Given

$\frac{3x-2}{4}$ - $\frac{2x-5}{3}$ = $\frac{1+x}{6}$

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