Solve for x
x=2
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16x+4-7=3\left(7x-3-2\left(x-2\right)\right)+4\left(2x-5\right)
Use the distributive property to multiply 4 by 4x+1.
16x-3=3\left(7x-3-2\left(x-2\right)\right)+4\left(2x-5\right)
Subtract 7 from 4 to get -3.
16x-3=3\left(7x-3-2x+4\right)+4\left(2x-5\right)
Use the distributive property to multiply -2 by x-2.
16x-3=3\left(5x-3+4\right)+4\left(2x-5\right)
Combine 7x and -2x to get 5x.
16x-3=3\left(5x+1\right)+4\left(2x-5\right)
Add -3 and 4 to get 1.
16x-3=15x+3+4\left(2x-5\right)
Use the distributive property to multiply 3 by 5x+1.
16x-3=15x+3+8x-20
Use the distributive property to multiply 4 by 2x-5.
16x-3=23x+3-20
Combine 15x and 8x to get 23x.
16x-3=23x-17
Subtract 20 from 3 to get -17.
16x-3-23x=-17
Subtract 23x from both sides.
-7x-3=-17
Combine 16x and -23x to get -7x.
-7x=-17+3
Add 3 to both sides.
-7x=-14
Add -17 and 3 to get -14.
x=\frac{-14}{-7}
Divide both sides by -7.
x=2
Divide -14 by -7 to get 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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