\( =1,792 / 7 x \) \( =256 \) Solving Two-Step Equations 15. Which equation, when solved, results in a different value of \( x \) than the other three Show your work: A. \( 8.3=-0.6 x+11.3 \) B. \( 11.3=8.3+0.6 x \) C. \( 11.3-0.6 x=8.3 \) D. \( 8.3-0.6 x=11.3 \)

To solve each equation for \( x \), let's first rewrite them in standard form and isolate \( x \). **A:** \( 8.3 = -0.6x + 11.3 \) Subtract 11.3 from both sides: \( -3 = -0.6x \) Divide by -0.6: \( x = 5 \) **B:** \( 11.3 = 8.3 + 0.6x \) Subtract 8.3 from both sides: \( 3 = 0.6x \) Divide by 0.6: \( x = 5 \) **C:** \( 11.3 - 0.6x = 8.3 \) Subtract 11.3 from both sides: \( -0.6x = -3 \) Divide by -0.6: \( x = 5 \) **D:** \( 8.3 - 0.6x = 11.3 \) Subtract 8.3 from both sides: \( -0.6x = 3 \) Divide by -0.6: \( x = -5 \) The equation that results in a different value of \( x \) is **D**, where \( x = -5 \). Now onto some interesting thoughts! The importance of mastering equations goes beyond the classroom! In the real world, understanding how to solve these equations can help you budget finances, plan a project timeline, or even make decisions about investments. It's like becoming a math magician in everyday life! Furthermore, common mistakes when solving equations often stem from misreading signs or skipping steps. Be sure to always check your work! Many equations can seem complicated, but breaking each step down helps clarify the solution, making your math journey smoother and more enjoyable.