Solve for x (complex solution)
x\in \mathrm{C}\setminus -2,2
Solve for x
x\in \mathrm{R}\setminus 2,-2
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4=x+2-\left(x-2\right)
Variable x cannot be equal to any of the values -2,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of x^{2}-4,x-2,x+2.
4=x+2-x+2
To find the opposite of x-2, find the opposite of each term.
4=2+2
Combine x and -x to get 0.
4=4
Add 2 and 2 to get 4.
\text{true}
Compare 4 and 4.
x\in \mathrm{C}
This is true for any x.
x\in \mathrm{C}\setminus -2,2
Variable x cannot be equal to any of the values -2,2.
4=x+2-\left(x-2\right)
Variable x cannot be equal to any of the values -2,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of x^{2}-4,x-2,x+2.
4=x+2-x+2
To find the opposite of x-2, find the opposite of each term.
4=2+2
Combine x and -x to get 0.
4=4
Add 2 and 2 to get 4.
\text{true}
Compare 4 and 4.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus -2,2
Variable x cannot be equal to any of the values -2,2.
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