1. Let's start with a basic Grade 10 Indonesian mathematics topic: solving linear equations.
2. Problem: Solve the equation $3x + 5 = 20$ for $x$.
3. Formula and rules: To solve for $x$, we need to isolate $x$ on one side of the equation by performing inverse operations.
4. Step 1: Subtract 5 from both sides:
$$3x + 5 - 5 = 20 - 5$$
$$3x = 15$$
5. Step 2: Divide both sides by 3 to solve for $x$:
$$\frac{3x}{\cancel{3}} = \frac{15}{\cancel{3}}$$
$$x = 5$$
6. Explanation: We first removed the constant term 5 by subtracting it from both sides, then divided both sides by the coefficient of $x$, which is 3, to isolate $x$.
7. Final answer: $x = 5$.
This is a fundamental skill in algebra that will help you solve many types of equations.
Linear Equation 50Df76
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