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Chapter 6: Problem 2

Solve and check each equation. \(x-3=-17\)

Short Answer

Expert verified
The solution to the equation \(x - 3 = -17\) is \(x = -14\).

Step by step solution

01

Identification

Firstly, identify the variable and the numbers. 'x' is the variable, '-3' is added to 'x' and '-17' is the result of the equation.
02

Use Inverse Operation

Add 3, which is the inverse operation of subtracting 3, to both sides of the equation to isolate 'x' on one side of the equation. This results in: \(x = -17 + 3\).
03

Simplify the Equation

Simplify right side of the equation by adding -17 and 3, which equals to -14. Therefore, the equation becomes: \(x = -14\).
04

Check the solution

Substitute the value of 'x' in the original equation. So it becomes: \(-14 - 3 = -17\). As this is true, the assumption that \(x = -14\) is verified.

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