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28\left(x+300\right)=25\left(x+360\right)
Multiply both sides of the equation by 700, the least common multiple of 25,28.
28x+8400=25\left(x+360\right)
Use the distributive property to multiply 28 by x+300.
28x+8400=25x+9000
Use the distributive property to multiply 25 by x+360.
28x+8400-25x=9000
Subtract 25x from both sides.
3x+8400=9000
Combine 28x and -25x to get 3x.
3x=9000-8400
Subtract 8400 from both sides.
3x=600
Subtract 8400 from 9000 to get 600.
x=\frac{600}{3}
Divide both sides by 3.
x=200
Divide 600 by 3 to get 200.