Solve for x
x=12
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\left(x+6\right)\times 480=2x\times 360
Variable x cannot be equal to any of the values -6,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+6\right), the least common multiple of x,x+6.
480x+2880=2x\times 360
Use the distributive property to multiply x+6 by 480.
480x+2880=720x
Multiply 2 and 360 to get 720.
480x+2880-720x=0
Subtract 720x from both sides.
-240x+2880=0
Combine 480x and -720x to get -240x.
-240x=-2880
Subtract 2880 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2880}{-240}
Divide both sides by -240.
x=12
Divide -2880 by -240 to get 12.
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