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5\left(x+300\right)=6\left(x+225\right)
Multiply both sides of the equation by 150, the least common multiple of 30,25.
5x+1500=6\left(x+225\right)
Use the distributive property to multiply 5 by x+300.
5x+1500=6x+1350
Use the distributive property to multiply 6 by x+225.
5x+1500-6x=1350
Subtract 6x from both sides.
-x+1500=1350
Combine 5x and -6x to get -x.
-x=1350-1500
Subtract 1500 from both sides.
-x=-150
Subtract 1500 from 1350 to get -150.
x=150
Multiply both sides by -1.