Solve for x
x=6
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2-x-5=3\left(3-x\right)
To find the opposite of x+5, find the opposite of each term.
-3-x=3\left(3-x\right)
Subtract 5 from 2 to get -3.
-3-x=9-3x
Use the distributive property to multiply 3 by 3-x.
-3-x+3x=9
Add 3x to both sides.
-3+2x=9
Combine -x and 3x to get 2x.
2x=9+3
Add 3 to both sides.
2x=12
Add 9 and 3 to get 12.
x=\frac{12}{2}
Divide both sides by 2.
x=6
Divide 12 by 2 to get 6.
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}