Solve for x
x = \frac{7}{5} = 1\frac{2}{5} = 1.4
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6x-3\left(x-1\right)=6-2\left(x-2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6x-3x+3=6-2\left(x-2\right)
Use the distributive property to multiply -3 by x-1.
3x+3=6-2\left(x-2\right)
Combine 6x and -3x to get 3x.
3x+3=6-2x+4
Use the distributive property to multiply -2 by x-2.
3x+3=10-2x
Add 6 and 4 to get 10.
3x+3+2x=10
Add 2x to both sides.
5x+3=10
Combine 3x and 2x to get 5x.
5x=10-3
Subtract 3 from both sides.
5x=7
Subtract 3 from 10 to get 7.
x=\frac{7}{5}
Divide both sides by 5.
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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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