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The equation 4(x − 2)=100 is a true equation for a particular value of x. Explain why 2(x − 2)=50 is also true for the same value of x.

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mathstudent55

Answer:

See below.

Step-by-step explanation:

4(x − 2)=100

Divide both sides by 2.

4/2 (x - 2) = 100/2

2(x - 2) = 50

Since the equation 2(x - 2) = 50 is obtained by dividing the both sides of the first equation by 2, and that is a legal operation because of the division property of equality, then the second equation is equivalent to the first equation and has the same solution.

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