Solve for x
x=80
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\left(x+40\right)\times 3200=x\times 2400\times 2
Variable x cannot be equal to any of the values -40,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+40\right), the least common multiple of x,x+40.
3200x+128000=x\times 2400\times 2
Use the distributive property to multiply x+40 by 3200.
3200x+128000=x\times 4800
Multiply 2400 and 2 to get 4800.
3200x+128000-x\times 4800=0
Subtract x\times 4800 from both sides.
-1600x+128000=0
Combine 3200x and -x\times 4800 to get -1600x.
-1600x=-128000
Subtract 128000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-128000}{-1600}
Divide both sides by -1600.
x=80
Divide -128000 by -1600 to get 80.
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