Solve for x
x = \frac{11}{5} = 2\frac{1}{5} = 2.2
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\left(x-3\right)\times 3=4-\left(x+1\right)\times 2
Variable x cannot be equal to any of the values -1,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+1\right), the least common multiple of x+1,x^{2}-2x-3,x-3.
3x-9=4-\left(x+1\right)\times 2
Use the distributive property to multiply x-3 by 3.
3x-9=4-\left(2x+2\right)
Use the distributive property to multiply x+1 by 2.
3x-9=4-2x-2
To find the opposite of 2x+2, find the opposite of each term.
3x-9=2-2x
Subtract 2 from 4 to get 2.
3x-9+2x=2
Add 2x to both sides.
5x-9=2
Combine 3x and 2x to get 5x.
5x=2+9
Add 9 to both sides.
5x=11
Add 2 and 9 to get 11.
x=\frac{11}{5}
Divide both sides by 5.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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