Solve for x
x=1
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x-1-x+6=2x-\left(-x-2\right)
Use the distributive property to multiply 1 by x-1.
-1+6=2x-\left(-x-2\right)
Combine x and -x to get 0.
5=2x-\left(-x-2\right)
Add -1 and 6 to get 5.
5=2x-\left(-x\right)-\left(-2\right)
To find the opposite of -x-2, find the opposite of each term.
5=2x-\left(-x\right)+2
The opposite of -2 is 2.
2x-\left(-x\right)+2=5
Swap sides so that all variable terms are on the left hand side.
2x-\left(-x\right)=5-2
Subtract 2 from both sides.
2x-\left(-x\right)=3
Subtract 2 from 5 to get 3.
2x+x=3
Multiply -1 and -1 to get 1.
3x=3
Combine 2x and x to get 3x.
x=\frac{3}{3}
Divide both sides by 3.
x=1
Divide 3 by 3 to get 1.
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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
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Limits
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