Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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x-1=3x-4
Add -10 and 6 to get -4.
x-1-3x=-4
Subtract 3x from both sides.
-2x-1=-4
Combine x and -3x to get -2x.
-2x=-4+1
Add 1 to both sides.
-2x=-3
Add -4 and 1 to get -3.
x=\frac{-3}{-2}
Divide both sides by -2.
x=\frac{3}{2}
Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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699 * 533
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}