Solve for x
x=6
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4x-4-\left(2-x\right)=6-3\left(x-12\right)
Use the distributive property to multiply 4 by x-1.
4x-4-2-\left(-x\right)=6-3\left(x-12\right)
To find the opposite of 2-x, find the opposite of each term.
4x-4-2+x=6-3\left(x-12\right)
The opposite of -x is x.
4x-6+x=6-3\left(x-12\right)
Subtract 2 from -4 to get -6.
5x-6=6-3\left(x-12\right)
Combine 4x and x to get 5x.
5x-6=6-3x+36
Use the distributive property to multiply -3 by x-12.
5x-6=42-3x
Add 6 and 36 to get 42.
5x-6+3x=42
Add 3x to both sides.
8x-6=42
Combine 5x and 3x to get 8x.
8x=42+6
Add 6 to both sides.
8x=48
Add 42 and 6 to get 48.
x=\frac{48}{8}
Divide both sides by 8.
x=6
Divide 48 by 8 to get 6.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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