Solve for x
x=4
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2\times 11=11\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-2\right), the least common multiple of x-2,2.
22=11\left(x-2\right)
Multiply 2 and 11 to get 22.
22=11x-22
Use the distributive property to multiply 11 by x-2.
11x-22=22
Swap sides so that all variable terms are on the left hand side.
11x=22+22
Add 22 to both sides.
11x=44
Add 22 and 22 to get 44.
x=\frac{44}{11}
Divide both sides by 11.
x=4
Divide 44 by 11 to get 4.
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