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c) \( -x+26=-12 x+4, x=-2 \)

Ask by Hall Turner. in Finland
Feb 03,2025

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Tutor-Verified Answer

Answer

\( x = -2 \)

Solution

Lös ekvationen: \[ -x + 26 = -12x + 4 \] **Steg 1:** Samla alla termer med \( x \) på ena sidan och konstanter på den andra sidan. \[ -x + 12x = 4 - 26 \] **Steg 2:** Kombinera liknande termer. \[ 11x = -22 \] **Steg 3:** Lös för \( x \) genom att dela båda sidor med 11. \[ x = \frac{-22}{11} = -2 \] **Svar:** \( x = -2 \)

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Bonus Knowledge

Let’s dive into the fun world of solving linear equations! This equation you’ve got is like a puzzle waiting to be solved. First, combine like terms and rearrange to isolate \( x \). After moving \( -12x \) to the left side, we get \( 11x + 26 = 4 \), and then subtracting 26 leads us to \( 11x = -22 \). Divide both sides by 11, and voilà— \( x = -2 \) checks out! High five! Now, consider using these skills to tackle real-world situations! Have you ever wondered how you'd calculate budget constraints or optimize resources in a project? Linear equations often model relationships between variables, helping you find solutions to practical problems like maximizing profits or minimizing costs. Your equation-solving prowess can come in handy whether you're running a business or just planning your weekend expenses! Keep experimenting and solving; you might just find the next big breakthrough!

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