Solve for x
x=\frac{1}{3}\approx 0.333333333
Graph
Share
Copied to clipboard
3x-\left(-2x\right)-3=3x-\left(x+2\right)
To find the opposite of -2x+3, find the opposite of each term.
3x+2x-3=3x-\left(x+2\right)
The opposite of -2x is 2x.
5x-3=3x-\left(x+2\right)
Combine 3x and 2x to get 5x.
5x-3=3x-x-2
To find the opposite of x+2, find the opposite of each term.
5x-3=2x-2
Combine 3x and -x to get 2x.
5x-3-2x=-2
Subtract 2x from both sides.
3x-3=-2
Combine 5x and -2x to get 3x.
3x=-2+3
Add 3 to both sides.
3x=1
Add -2 and 3 to get 1.
x=\frac{1}{3}
Divide both sides by 3.
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}