Solve for x
x=-3
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3x-\left(2-x-\left(-1\right)\right)=5x
To find the opposite of x-1, find the opposite of each term.
3x-\left(2-x+1\right)=5x
The opposite of -1 is 1.
3x-\left(3-x\right)=5x
Add 2 and 1 to get 3.
3x-3-\left(-x\right)=5x
To find the opposite of 3-x, find the opposite of each term.
3x-3+x=5x
The opposite of -x is x.
4x-3=5x
Combine 3x and x to get 4x.
4x-3-5x=0
Subtract 5x from both sides.
-x-3=0
Combine 4x and -5x to get -x.
-x=3
Add 3 to both sides. Anything plus zero gives itself.
x=-3
Multiply both sides by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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}