SOLUTION: Hi, please help me solve the expression for x:(4-2)(x-2)=4x-8 ?

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Question 202101: Hi, please help me solve the expression for x:(4-2)(x-2)=4x-8 ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Are you sure that the equation is %284-2%29%28x-2%29=4x-8 ????

If so, then...



%284-2%29%28x-2%29=4x-8 Start with the given equation.


2%28x-2%29=4x-8 Subtract


2x-4=4x-8 Distribute.


2x=4x-8%2B4 Add 4 to both sides.


2x-4x=-8%2B4 Subtract 4x from both sides.


-2x=-8%2B4 Combine like terms on the left side.


-2x=-4 Combine like terms on the right side.


x=%28-4%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=2 Reduce.


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Answer:

So the solution is x=2