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4\left(x-2\right)=1
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.
4x-8=1
Use the distributive property to multiply 4 by x-2.
4x=1+8
Add 8 to both sides.
4x=9
Add 1 and 8 to get 9.
x=\frac{9}{4}
Divide both sides by 4.