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5=2\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3.
5=2x-6
Use the distributive property to multiply 2 by x-3.
2x-6=5
Swap sides so that all variable terms are on the left hand side.
2x=5+6
Add 6 to both sides.
2x=11
Add 5 and 6 to get 11.
x=\frac{11}{2}
Divide both sides by 2.