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Solve for x (complex solution)
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4x-11-x-\left(-6\right)=3\left(x-1\right)-2
To find the opposite of x-6, find the opposite of each term.
4x-11-x+6=3\left(x-1\right)-2
The opposite of -6 is 6.
3x-11+6=3\left(x-1\right)-2
Combine 4x and -x to get 3x.
3x-5=3\left(x-1\right)-2
Add -11 and 6 to get -5.
3x-5=3x-3-2
Use the distributive property to multiply 3 by x-1.
3x-5=3x-5
Subtract 2 from -3 to get -5.
3x-5-3x=-5
Subtract 3x from both sides.
-5=-5
Combine 3x and -3x to get 0.
\text{true}
Compare -5 and -5.
x\in \mathrm{C}
This is true for any x.
4x-11-x-\left(-6\right)=3\left(x-1\right)-2
To find the opposite of x-6, find the opposite of each term.
4x-11-x+6=3\left(x-1\right)-2
The opposite of -6 is 6.
3x-11+6=3\left(x-1\right)-2
Combine 4x and -x to get 3x.
3x-5=3\left(x-1\right)-2
Add -11 and 6 to get -5.
3x-5=3x-3-2
Use the distributive property to multiply 3 by x-1.
3x-5=3x-5
Subtract 2 from -3 to get -5.
3x-5-3x=-5
Subtract 3x from both sides.
-5=-5
Combine 3x and -3x to get 0.
\text{true}
Compare -5 and -5.
x\in \mathrm{R}
This is true for any x.