Subjects algebra

Linear Equation 7B00C9

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1. The problem is to understand and solve a typical Grade 8 AEP (Advanced Education Program) math question, but since no specific question was provided, I will explain a common algebraic problem type: solving a linear equation. 2. The general formula for solving a linear equation of the form $ax + b = c$ is to isolate $x$ by performing inverse operations. 3. Important rules: - You can add or subtract the same number from both sides. - You can multiply or divide both sides by the same nonzero number. 4. Example problem: Solve $3x + 5 = 20$. 5. Step 1: Subtract 5 from both sides to isolate the term with $x$: $$3x + 5 - 5 = 20 - 5$$ $$3x = 15$$ 6. Step 2: Divide both sides by 3 to solve for $x$: $$\frac{\cancel{3}x}{\cancel{3}} = \frac{15}{3}$$ $$x = 5$$ 7. Final answer: $x = 5$. This method applies to many linear equations you will encounter in Grade 8 AEP math.