Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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3x-6x+6-\left(x-1\right)=1
Use the distributive property to multiply 3 by -2x+2.
-3x+6-\left(x-1\right)=1
Combine 3x and -6x to get -3x.
-3x+6-x-\left(-1\right)=1
To find the opposite of x-1, find the opposite of each term.
-3x+6-x+1=1
The opposite of -1 is 1.
-4x+6+1=1
Combine -3x and -x to get -4x.
-4x+7=1
Add 6 and 1 to get 7.
-4x=1-7
Subtract 7 from both sides.
-4x=-6
Subtract 7 from 1 to get -6.
x=\frac{-6}{-4}
Divide both sides by -4.
x=\frac{3}{2}
Reduce the fraction \frac{-6}{-4} to lowest terms by extracting and canceling out -2.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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