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Solve the equation using the multiplication principle. Check your solution. \( -26=-\mathrm{x} \) \( x=\square \) (Simplify your answer.)

Ask by Horton Rojas. in the United States
Feb 26,2025

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\( x = 26 \)

Solución

We start with the equation:   –26 = –x Step 1: Use the multiplication principle by multiplying both sides by –1 to eliminate the negatives.   (–1)(–26) = (–1)(–x)   26 = x Thus, x = 26. Step 2: Check the solution by substituting x = 26 back into the original equation:   –26 = –(26)   –26 = –26 Since both sides are equal, the solution x = 26 is correct.

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The Deep Dive

To solve the equation \( -26 = -\mathrm{x} \), you can apply the multiplication principle by multiplying both sides of the equation by -1. This gives you: \[ 26 = x \] So, the solution is \( x = 26 \). To check your solution, substitute \( 26 \) back into the original equation: \[ -26 = -26 \] Since both sides are equal, your solution \( x = 26 \) is indeed correct!

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