Question

Given the replacement set: {−9, −10, −11, −12}.

Which value of x correctly solves this equation?

3.2x−5=−40.2

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Answer 1

x = -11

Explanation:

You want to know the value of x that correctly solves the equation 3.2x -5 = -40.2.

Solution

This 2-step linear equation is solved in the usual way:

Step 1: isolate the variable term

3.2x -5 +5 = -40.2 +5 . . . . . . . . . add 5 to both sides

3.2x = -35.2 . . . . . . . . . . . . . simplify

Step 2: isolate the variable

3.2x/3.2 = -35.2/3.2 . . . . . . . . . . divide both sides by the coefficient of x

x = -11 . . . . . . . . . . . . . . . . . . simplify