Solve for x
x=-1
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x-\left(x-\left(-1\right)\right)=1-\left(2-\left(3-4-x\right)\right)
Combine x and -x to get 0.
x-\left(x+1\right)=1-\left(2-\left(3-4-x\right)\right)
The opposite of -1 is 1.
x-x-1=1-\left(2-\left(3-4-x\right)\right)
To find the opposite of x+1, find the opposite of each term.
-1=1-\left(2-\left(3-4-x\right)\right)
Combine x and -x to get 0.
-1=1-\left(2-\left(-1-x\right)\right)
Subtract 4 from 3 to get -1.
-1=1-\left(2-\left(-1\right)-\left(-x\right)\right)
To find the opposite of -1-x, find the opposite of each term.
-1=1-\left(2+1-\left(-x\right)\right)
The opposite of -1 is 1.
-1=1-\left(2+1+x\right)
The opposite of -x is x.
-1=1-\left(3+x\right)
Add 2 and 1 to get 3.
-1=1-3-x
To find the opposite of 3+x, find the opposite of each term.
-1=-2-x
Subtract 3 from 1 to get -2.
-2-x=-1
Swap sides so that all variable terms are on the left hand side.
-x=-1+2
Add 2 to both sides.
-x=1
Add -1 and 2 to get 1.
x=-1
Multiply both sides by -1.
Examples
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Linear equation
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}