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