Solve for x
x=-7
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5-2x-3+3x=3x-\left(x-9\right)
Use the distributive property to multiply -3 by 1-x.
2-2x+3x=3x-\left(x-9\right)
Subtract 3 from 5 to get 2.
2+x=3x-\left(x-9\right)
Combine -2x and 3x to get x.
2+x=3x-x-\left(-9\right)
To find the opposite of x-9, find the opposite of each term.
2+x=3x-x+9
The opposite of -9 is 9.
2+x=2x+9
Combine 3x and -x to get 2x.
2+x-2x=9
Subtract 2x from both sides.
2-x=9
Combine x and -2x to get -x.
-x=9-2
Subtract 2 from both sides.
-x=7
Subtract 2 from 9 to get 7.
x=-7
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}