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3\times 3x-3=2x
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9x-3=2x
Multiply 3 and 3 to get 9.
9x-3-2x=0
Subtract 2x from both sides.
7x-3=0
Combine 9x and -2x to get 7x.
7x=3
Add 3 to both sides. Anything plus zero gives itself.
x=\frac{3}{7}
Divide both sides by 7.