1. \( 2 x+7=15 \) 2. \( 3 y-5=10 \) 3. 4. 4 \( 6 b-1=-11=9 \) 5. \( 5 c+8=3 \)
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Bonus Knowledge
Did you know that algebra dates back to ancient civilizations? The term "algebra" comes from the Arabic word "al-jabr," which means "the reunion of broken parts." This branch of mathematics developed in the 9th century through the works of mathematicians like Al-Khwarizmi, making it an essential part of the mathematical world today! When solving equations like those you've listed, it's easy to make small errors. A common mistake is forgetting to invert the sign when moving a term from one side of the equation to the other. For instance, when isolating \( x \) in \( 2x + 7 = 15 \), subtract 7, and you'll get \( 2x = 8 \). Always double-check your operations to avoid those little slip-ups!