Solve for x
x=50
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-4\left(550-x\right)=5\left(x-450\right)
Variable x cannot be equal to 450 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-450\right), the least common multiple of 450-x,4.
-2200+4x=5\left(x-450\right)
Use the distributive property to multiply -4 by 550-x.
-2200+4x=5x-2250
Use the distributive property to multiply 5 by x-450.
-2200+4x-5x=-2250
Subtract 5x from both sides.
-2200-x=-2250
Combine 4x and -5x to get -x.
-x=-2250+2200
Add 2200 to both sides.
-x=-50
Add -2250 and 2200 to get -50.
x=50
Multiply both sides by -1.
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