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6x+5=7x
Combine x and 5x to get 6x.
6x+5-7x=0
Subtract 7x from both sides.
-x+5=0
Combine 6x and -7x to get -x.
-x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=5
Multiply both sides by -1.