Solve for x
x=\frac{1}{7}\approx 0.142857143
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1-\frac{3}{2}x=\frac{11}{2}x
Combine 3x and \frac{5}{2}x to get \frac{11}{2}x.
1-\frac{3}{2}x-\frac{11}{2}x=0
Subtract \frac{11}{2}x from both sides.
1-7x=0
Combine -\frac{3}{2}x and -\frac{11}{2}x to get -7x.
-7x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-7}
Divide both sides by -7.
x=\frac{1}{7}
Fraction \frac{-1}{-7} can be simplified to \frac{1}{7} by removing the negative sign from both the numerator and the denominator.
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