Subjects algebra

Adding Vs Subtracting 1Dbf7E

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1. Let's clarify step 6 where 8 was added instead of subtracted. 2. Usually, when solving equations, the operation depends on the equation's structure and what maintains equality. 3. If the original equation had a term like $+8$ on one side, to isolate the variable, you subtract 8 from both sides. 4. Conversely, if the equation required moving a negative term to the other side, adding 8 might be correct. 5. Without the exact equation, the key is to perform the inverse operation to move terms across the equals sign. 6. For example, if the equation was $x - 8 = 5$, adding 8 to both sides gives $x - 8 + 8 = 5 + 8$ which simplifies to $x = 13$. 7. So, adding 8 is correct here because it cancels the $-8$ on the left side. 8. If you subtracted 8 instead, you'd get $x - 8 - 8 = 5 - 8$ or $x - 16 = -3$, which doesn't isolate $x$. 9. Therefore, adding 8 is the proper step to isolate the variable in this context. 10. Always check the sign of the term you want to move and perform the opposite operation to maintain equality.