Solve for m (complex solution)
m=-2x-3
x\neq -2\text{ and }x\neq 2
Solve for x (complex solution)
x=\frac{-m-3}{2}
m\neq 1\text{ and }m\neq -7
Solve for m
m=-2x-3
|x|\neq 2
Solve for x
x=\frac{-m-3}{2}
m\neq -7\text{ and }m\neq 1
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-\left(2+x\right)\times 2=m-1
Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of 2-x,x^{2}-4.
\left(-2-x\right)\times 2=m-1
To find the opposite of 2+x, find the opposite of each term.
-4-2x=m-1
Use the distributive property to multiply -2-x by 2.
m-1=-4-2x
Swap sides so that all variable terms are on the left hand side.
m=-4-2x+1
Add 1 to both sides.
m=-3-2x
Add -4 and 1 to get -3.
-\left(2+x\right)\times 2=m-1
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 2-x,x^{2}-4.
\left(-2-x\right)\times 2=m-1
To find the opposite of 2+x, find the opposite of each term.
-4-2x=m-1
Use the distributive property to multiply -2-x by 2.
-2x=m-1+4
Add 4 to both sides.
-2x=m+3
Add -1 and 4 to get 3.
\frac{-2x}{-2}=\frac{m+3}{-2}
Divide both sides by -2.
x=\frac{m+3}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{-m-3}{2}
Divide m+3 by -2.
x=\frac{-m-3}{2}\text{, }x\neq -2\text{ and }x\neq 2
Variable x cannot be equal to any of the values -2,2.
-\left(2+x\right)\times 2=m-1
Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of 2-x,x^{2}-4.
\left(-2-x\right)\times 2=m-1
To find the opposite of 2+x, find the opposite of each term.
-4-2x=m-1
Use the distributive property to multiply -2-x by 2.
m-1=-4-2x
Swap sides so that all variable terms are on the left hand side.
m=-4-2x+1
Add 1 to both sides.
m=-3-2x
Add -4 and 1 to get -3.
-\left(2+x\right)\times 2=m-1
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 2-x,x^{2}-4.
\left(-2-x\right)\times 2=m-1
To find the opposite of 2+x, find the opposite of each term.
-4-2x=m-1
Use the distributive property to multiply -2-x by 2.
-2x=m-1+4
Add 4 to both sides.
-2x=m+3
Add -1 and 4 to get 3.
\frac{-2x}{-2}=\frac{m+3}{-2}
Divide both sides by -2.
x=\frac{m+3}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{-m-3}{2}
Divide m+3 by -2.
x=\frac{-m-3}{2}\text{, }x\neq -2\text{ and }x\neq 2
Variable x cannot be equal to any of the values -2,2.
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