3x-2/4-2x+3/3=2/3-x
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Step-by-step explanation:Given, \frac{3x-2}{4} - \frac{2x+3}{3} = \frac{2}{3} -x
\frac{3x-2}{4} - \frac{2x+3}{3} + x = \frac{2}{3}
LCM of 3,4 = 12.
\frac{3(3x - 2) - 4(2x + 3) + 12x}{12} = \frac{2}{3}
\frac{9x - 6 - 8x - 12 + 12x}{12} = \frac{2}{3}
\frac{13x - 18}{12} = \frac{2}{3}
13x - 18 = \frac{12 * 2}{3}
13x - 18 = \frac{24}{3}
13x - 18 = 8
13x = 18 + 8
13x = 26
x = 26/13
x = 2.
Hope this helps!
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