Solve for x
x=2
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x-\left(3x-\left(4x-3x-\left(-1\right)-1\right)+3\right)=-5
To find the opposite of 3x-1, find the opposite of each term.
x-\left(3x-\left(4x-3x+1-1\right)+3\right)=-5
The opposite of -1 is 1.
x-\left(3x-\left(x+1-1\right)+3\right)=-5
Combine 4x and -3x to get x.
x-\left(3x-x+3\right)=-5
Subtract 1 from 1 to get 0.
x-\left(2x+3\right)=-5
Combine 3x and -x to get 2x.
x-2x-3=-5
To find the opposite of 2x+3, find the opposite of each term.
-x-3=-5
Combine x and -2x to get -x.
-x=-5+3
Add 3 to both sides.
-x=-2
Add -5 and 3 to get -2.
x=2
Multiply both sides by -1.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}