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2x+3=4x+1
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x+3-4x=1
Subtract 4x from both sides.
-2x+3=1
Combine 2x and -4x to get -2x.
-2x=1-3
Subtract 3 from both sides.
-2x=-2
Subtract 3 from 1 to get -2.
x=\frac{-2}{-2}
Divide both sides by -2.
x=1
Divide -2 by -2 to get 1.