Solve for x
x = -\frac{37}{4} = -9\frac{1}{4} = -9.25
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8\left(2x-4\right)=5\left(4x+1\right)
Multiply both sides of the equation by 40, the least common multiple of 5,8.
16x-32=5\left(4x+1\right)
Use the distributive property to multiply 8 by 2x-4.
16x-32=20x+5
Use the distributive property to multiply 5 by 4x+1.
16x-32-20x=5
Subtract 20x from both sides.
-4x-32=5
Combine 16x and -20x to get -4x.
-4x=5+32
Add 32 to both sides.
-4x=37
Add 5 and 32 to get 37.
x=\frac{37}{-4}
Divide both sides by -4.
x=-\frac{37}{4}
Fraction \frac{37}{-4} can be rewritten as -\frac{37}{4} by extracting the negative sign.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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