Solve for x
x = \frac{17}{7} = 2\frac{3}{7} \approx 2.428571429
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x-2-2x-6=3-2\left(3x-2\right)-2\left(x-1\right)
Use the distributive property to multiply -2 by x+3.
-x-2-6=3-2\left(3x-2\right)-2\left(x-1\right)
Combine x and -2x to get -x.
-x-8=3-2\left(3x-2\right)-2\left(x-1\right)
Subtract 6 from -2 to get -8.
-x-8=3-6x+4-2\left(x-1\right)
Use the distributive property to multiply -2 by 3x-2.
-x-8=7-6x-2\left(x-1\right)
Add 3 and 4 to get 7.
-x-8=7-6x-2x+2
Use the distributive property to multiply -2 by x-1.
-x-8=7-8x+2
Combine -6x and -2x to get -8x.
-x-8=9-8x
Add 7 and 2 to get 9.
-x-8+8x=9
Add 8x to both sides.
7x-8=9
Combine -x and 8x to get 7x.
7x=9+8
Add 8 to both sides.
7x=17
Add 9 and 8 to get 17.
x=\frac{17}{7}
Divide both sides by 7.
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}