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2x-3=3x-7\times 2x
Multiply both sides of the equation by 7.
2x-3=3x-14x
Multiply -7 and 2 to get -14.
2x-3=-11x
Combine 3x and -14x to get -11x.
2x-3+11x=0
Add 11x to both sides.
13x-3=0
Combine 2x and 11x to get 13x.
13x=3
Add 3 to both sides. Anything plus zero gives itself.
x=\frac{3}{13}
Divide both sides by 13.