Write and solve the equation and then check your answer. The difference between a number and four hundred forty is five hundred eighty-five. Complete the statements. The equation that correctly models the problem is. To undo what has been done to the variable, both sides of the equation. The solution of the equation is. Check the solution by substituting for the variable and simplifying.

The equation that correctly models the problem is x - 445 = 595. To undo what has been done to the variable, both sides of the equation must be increased by 445. The solution of the equation is 1030.

Let the number be x

According to the problem if x is subtracted with 445, then we get 585. Hence the equation that will model the problem is

x - 445 = 585

Now we need to undo what has been done to the variable i.e x. Hence we need to add 445 back to both sides.

Therefore,

To undo what has been done to the variable, both sides of the equation will be added with 445.

By doing the previous step we will get the answer

x = 1030

Now if we substitute the value of x we get

LHS = 1030 - 445

= 585 = RHS

Hence the solution is verified.

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