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Chapter 6: Problem 59

Solve the equation. $$ \frac{1}{2} x=-6 $$

Short Answer

Expert verified
The solution for the equation is x=-12

Step by step solution

01

Isolate x

Our primary aim is to isolate \(x\) in the equation, which means getting \(x\) by itself on one side of the equation. To achieve this, we can multiply both sides of the equation by 2, which is the reciprocal (the 'opposite') of 1/2. Doing this eliminates the 1/2 on left side.\nThe equation then becomes: \(2 * \frac{1}{2}x = 2*-6\)
02

Simplify

Simplify this to obtain: \(x = -12\)

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