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8\times 150=75\left(x-4\right)
Multiply both sides of the equation by 1200, the least common multiple of 150,16.
1200=75\left(x-4\right)
Multiply 8 and 150 to get 1200.
1200=75x-300
Use the distributive property to multiply 75 by x-4.
75x-300=1200
Swap sides so that all variable terms are on the left hand side.
75x=1200+300
Add 300 to both sides.
75x=1500
Add 1200 and 300 to get 1500.
x=\frac{1500}{75}
Divide both sides by 75.
x=20
Divide 1500 by 75 to get 20.