Solve for x
x=-1
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-x+2+2x-3x=3\left(3-x\right)-4\left(1-x\right)
Subtract 5 from 7 to get 2.
-x+2-x=3\left(3-x\right)-4\left(1-x\right)
Combine 2x and -3x to get -x.
-x+2-x=9-3x-4\left(1-x\right)
Use the distributive property to multiply 3 by 3-x.
-x+2-x=9-3x-4+4x
Use the distributive property to multiply -4 by 1-x.
-x+2-x=5-3x+4x
Subtract 4 from 9 to get 5.
-x+2-x=5+x
Combine -3x and 4x to get x.
-x+2-x-x=5
Subtract x from both sides.
-x+2-2x=5
Combine -x and -x to get -2x.
-x-2x=5-2
Subtract 2 from both sides.
-x-2x=3
Subtract 2 from 5 to get 3.
-3x=3
Combine -x and -2x to get -3x.
x=\frac{3}{-3}
Divide both sides by -3.
x=-1
Divide 3 by -3 to get -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}