Solve for x
x\in \mathrm{R}
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\frac{-3+2x}{2}<x
Multiply both numerator and denominator by -1.
-\frac{3}{2}+x<x
Divide each term of -3+2x by 2 to get -\frac{3}{2}+x.
-\frac{3}{2}+x-x<0
Subtract x from both sides.
-\frac{3}{2}<0
Combine x and -x to get 0.
x\in \mathrm{R}
This is true for any x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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