Solve for x
x=\frac{2}{3}\approx 0.666666667
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-2x+2+0.5x=1
Add 0.5x to both sides.
-1.5x+2=1
Combine -2x and 0.5x to get -1.5x.
-1.5x=1-2
Subtract 2 from both sides.
-1.5x=-1
Subtract 2 from 1 to get -1.
x=\frac{-1}{-1.5}
Divide both sides by -1.5.
x=\frac{-10}{-15}
Expand \frac{-1}{-1.5} by multiplying both numerator and the denominator by 10.
x=\frac{2}{3}
Reduce the fraction \frac{-10}{-15} to lowest terms by extracting and canceling out -5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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