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\frac{2x}{3}-1-x=0
Subtract x from both sides.
\frac{2x}{3}-x=1
Add 1 to both sides. Anything plus zero gives itself.
2x-3x=3
Multiply both sides of the equation by 3.
-x=3
Combine 2x and -3x to get -x.
x=-3
Multiply both sides by -1.