1. Let's state a similar problem: Solve for $x$ in the equation $$2x + 5 = 15$$.
2. The formula used here is to isolate $x$ by performing inverse operations. Important rules: addition and subtraction undo each other, multiplication and division undo each other.
3. Subtract 5 from both sides:
$$2x + 5 - 5 = 15 - 5$$
which simplifies to
$$2x = 10$$.
4. Divide both sides by 2 to solve for $x$:
$$\frac{2x}{2} = \frac{10}{2}$$
which simplifies to
$$x = 5$$.
5. So, the solution to the equation is $x = 5$.
This example shows how to solve a simple linear equation by isolating the variable step-by-step.
Linear Equation 211D04
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