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5x+150=6\left(x+10\right)
Multiply both sides of the equation by 300, the least common multiple of 60,50.
5x+150=6x+60
Use the distributive property to multiply 6 by x+10.
5x+150-6x=60
Subtract 6x from both sides.
-x+150=60
Combine 5x and -6x to get -x.
-x=60-150
Subtract 150 from both sides.
-x=-90
Subtract 150 from 60 to get -90.
x=90
Multiply both sides by -1.