Solve for x
x=4
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x+4+\left(x+4\right)\times 2=\left(x+2\right)\times 4
Variable x cannot be equal to any of the values -4,-2 since division by zero is not defined. Multiply both sides of the equation by \left(x+2\right)\left(x+4\right), the least common multiple of x+2,x+4.
x+4+2x+8=\left(x+2\right)\times 4
Use the distributive property to multiply x+4 by 2.
3x+4+8=\left(x+2\right)\times 4
Combine x and 2x to get 3x.
3x+12=\left(x+2\right)\times 4
Add 4 and 8 to get 12.
3x+12=4x+8
Use the distributive property to multiply x+2 by 4.
3x+12-4x=8
Subtract 4x from both sides.
-x+12=8
Combine 3x and -4x to get -x.
-x=8-12
Subtract 12 from both sides.
-x=-4
Subtract 12 from 8 to get -4.
x=4
Multiply both sides by -1.
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