Solve for x
x=5
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x-\left(2x-3-3x-2\right)=15
To find the opposite of 3x+2, find the opposite of each term.
x-\left(-x-3-2\right)=15
Combine 2x and -3x to get -x.
x-\left(-x-5\right)=15
Subtract 2 from -3 to get -5.
x-\left(-x\right)-\left(-5\right)=15
To find the opposite of -x-5, find the opposite of each term.
x+x-\left(-5\right)=15
The opposite of -x is x.
x+x+5=15
The opposite of -5 is 5.
2x+5=15
Combine x and x to get 2x.
2x=15-5
Subtract 5 from both sides.
2x=10
Subtract 5 from 15 to get 10.
x=\frac{10}{2}
Divide both sides by 2.
x=5
Divide 10 by 2 to get 5.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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