Solve for x
x = \frac{24}{11} = 2\frac{2}{11} \approx 2.181818182
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-10x+6=12x-42
Multiply 5 and -2 to get -10.
-10x+6-12x=-42
Subtract 12x from both sides.
-22x+6=-42
Combine -10x and -12x to get -22x.
-22x=-42-6
Subtract 6 from both sides.
-22x=-48
Subtract 6 from -42 to get -48.
x=\frac{-48}{-22}
Divide both sides by -22.
x=\frac{24}{11}
Reduce the fraction \frac{-48}{-22} to lowest terms by extracting and canceling out -2.
Examples
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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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