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6x+504=7x
Multiply both sides of the equation by 168, the least common multiple of 28,24.
6x+504-7x=0
Subtract 7x from both sides.
-x+504=0
Combine 6x and -7x to get -x.
-x=-504
Subtract 504 from both sides. Anything subtracted from zero gives its negation.
x=504
Multiply both sides by -1.