Solve for x
x=-5
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\left(x-3\right)\times 2-\left(x+3\right)\times 3=2x
Variable x cannot be equal to any of the values -3,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+3\right), the least common multiple of x+3,x-3,x^{2}-9.
2x-6-\left(x+3\right)\times 3=2x
Use the distributive property to multiply x-3 by 2.
2x-6-\left(3x+9\right)=2x
Use the distributive property to multiply x+3 by 3.
2x-6-3x-9=2x
To find the opposite of 3x+9, find the opposite of each term.
-x-6-9=2x
Combine 2x and -3x to get -x.
-x-15=2x
Subtract 9 from -6 to get -15.
-x-15-2x=0
Subtract 2x from both sides.
-3x-15=0
Combine -x and -2x to get -3x.
-3x=15
Add 15 to both sides. Anything plus zero gives itself.
x=\frac{15}{-3}
Divide both sides by -3.
x=-5
Divide 15 by -3 to get -5.
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}