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x-2=4\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.
x-2=4x+4
Use the distributive property to multiply 4 by x+1.
x-2-4x=4
Subtract 4x from both sides.
-3x-2=4
Combine x and -4x to get -3x.
-3x=4+2
Add 2 to both sides.
-3x=6
Add 4 and 2 to get 6.
x=\frac{6}{-3}
Divide both sides by -3.
x=-2
Divide 6 by -3 to get -2.