Solve for x
x=0
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-3x+7+8=3\left(5+6x\right)-12x
Combine 2x and -5x to get -3x.
-3x+15=3\left(5+6x\right)-12x
Add 7 and 8 to get 15.
-3x+15=15+18x-12x
Use the distributive property to multiply 3 by 5+6x.
-3x+15=15+6x
Combine 18x and -12x to get 6x.
-3x+15-6x=15
Subtract 6x from both sides.
-9x+15=15
Combine -3x and -6x to get -9x.
-9x=15-15
Subtract 15 from both sides.
-9x=0
Subtract 15 from 15 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -9 is not equal to 0, x must be equal to 0.
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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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