Solve for x
x=7
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2\left(-3x+4\right)+20\left(x-5\right)=-3\left(x-4\right)+15
Multiply both sides of the equation by 10, the least common multiple of 5,10,2.
-6x+8+20\left(x-5\right)=-3\left(x-4\right)+15
Use the distributive property to multiply 2 by -3x+4.
-6x+8+20x-100=-3\left(x-4\right)+15
Use the distributive property to multiply 20 by x-5.
14x+8-100=-3\left(x-4\right)+15
Combine -6x and 20x to get 14x.
14x-92=-3\left(x-4\right)+15
Subtract 100 from 8 to get -92.
14x-92=-3x+12+15
Use the distributive property to multiply -3 by x-4.
14x-92=-3x+27
Add 12 and 15 to get 27.
14x-92+3x=27
Add 3x to both sides.
17x-92=27
Combine 14x and 3x to get 17x.
17x=27+92
Add 92 to both sides.
17x=119
Add 27 and 92 to get 119.
x=\frac{119}{17}
Divide both sides by 17.
x=7
Divide 119 by 17 to get 7.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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