Solve for x
x\neq 2
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2x+\left(x-2\right)\left(-2\right)=-\left(-4\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
2x-2x+4=-\left(-4\right)
Use the distributive property to multiply x-2 by -2.
4=-\left(-4\right)
Combine 2x and -2x to get 0.
4=4
Multiply -1 and -4 to get 4.
\text{true}
Compare 4 and 4.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus 2
Variable x cannot be equal to 2.
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