Solve for x
x = \frac{27}{22} = 1\frac{5}{22} \approx 1.227272727
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-2+5\left(-6x+15-3x\right)=20-\left(x+1\right)
Use the distributive property to multiply 3 by 5-x.
-2+5\left(-9x+15\right)=20-\left(x+1\right)
Combine -6x and -3x to get -9x.
-2-45x+75=20-\left(x+1\right)
Use the distributive property to multiply 5 by -9x+15.
73-45x=20-\left(x+1\right)
Add -2 and 75 to get 73.
73-45x=20-x-1
To find the opposite of x+1, find the opposite of each term.
73-45x=19-x
Subtract 1 from 20 to get 19.
73-45x+x=19
Add x to both sides.
73-44x=19
Combine -45x and x to get -44x.
-44x=19-73
Subtract 73 from both sides.
-44x=-54
Subtract 73 from 19 to get -54.
x=\frac{-54}{-44}
Divide both sides by -44.
x=\frac{27}{22}
Reduce the fraction \frac{-54}{-44} 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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