Solve for x
x=4
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1=-\left(1-x\right)+\left(x-3\right)\left(-2\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3, the least common multiple of x-3,3-x.
1=-1+x+\left(x-3\right)\left(-2\right)
To find the opposite of 1-x, find the opposite of each term.
1=-1+x-2x+6
Use the distributive property to multiply x-3 by -2.
1=-1-x+6
Combine x and -2x to get -x.
1=5-x
Add -1 and 6 to get 5.
5-x=1
Swap sides so that all variable terms are on the left hand side.
-x=1-5
Subtract 5 from both sides.
-x=-4
Subtract 5 from 1 to get -4.
x=4
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
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}