Solve for x
x=-10
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-2x+8-\left(3x-2\right)=-2-\left(6x-2\right)
Use the distributive property to multiply -2 by x-4.
-2x+8-3x-\left(-2\right)=-2-\left(6x-2\right)
To find the opposite of 3x-2, find the opposite of each term.
-2x+8-3x+2=-2-\left(6x-2\right)
The opposite of -2 is 2.
-5x+8+2=-2-\left(6x-2\right)
Combine -2x and -3x to get -5x.
-5x+10=-2-\left(6x-2\right)
Add 8 and 2 to get 10.
-5x+10=-2-6x-\left(-2\right)
To find the opposite of 6x-2, find the opposite of each term.
-5x+10=-2-6x+2
The opposite of -2 is 2.
-5x+10=-6x
Add -2 and 2 to get 0.
-5x+10+6x=0
Add 6x to both sides.
x+10=0
Combine -5x and 6x to get x.
x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}