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2=9x-7
Variable x cannot be equal to \frac{7}{9} since division by zero is not defined. Multiply both sides of the equation by 2\left(9x-7\right), the least common multiple of 9x-7,2.
9x-7=2
Swap sides so that all variable terms are on the left hand side.
9x=2+7
Add 7 to both sides.
9x=9
Add 2 and 7 to get 9.
x=\frac{9}{9}
Divide both sides by 9.
x=1
Divide 9 by 9 to get 1.