Solve for x
x=\frac{1}{2}=0.5
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2-12x+9=6-2x
Use the distributive property to multiply -3 by 4x-3.
11-12x=6-2x
Add 2 and 9 to get 11.
11-12x+2x=6
Add 2x to both sides.
11-10x=6
Combine -12x and 2x to get -10x.
-10x=6-11
Subtract 11 from both sides.
-10x=-5
Subtract 11 from 6 to get -5.
x=\frac{-5}{-10}
Divide both sides by -10.
x=\frac{1}{2}
Reduce the fraction \frac{-5}{-10} 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
Linear equation
y = 3x + 4
Arithmetic
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}