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2x+48=3x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+48-3x=0
Subtract 3x from both sides.
-x+48=0
Combine 2x and -3x to get -x.
-x=-48
Subtract 48 from both sides. Anything subtracted from zero gives its negation.
x=48
Multiply both sides by -1.