Solve (2x - 3)/6 - (4 - x)/36 = (x + 2)/9.
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\(\large \frac{2x-3}{6}-\frac{4-x}{36}=\frac{x+2}{9}\\\)
\(\large \frac{(2x-3)6}{6\cdot 6}-\frac{4-x}{36}=\frac{(x+2)4}{9\cdot4}\\\) | form common denominator
\(\large \frac{12x-18}{36}-\frac{4-x}{36}=\frac{4x+8}{36}\\\) | \(\times 36\)
\(12x-18-(4-x)=4x+8\) | remove the bracket
\(12x-18-4+x=4x+8\) | separate variables and constants
\(12x+x-4x=8+18+4\) | add
\(9x=30\) | divide by 9
\(x=\frac{30}{9}=\frac{10}{3}=3\frac{1}{3}=3.\overline {33}\)
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