1. The problem is to solve for $x$ in the equation given (though the equation is not explicitly stated, we assume a typical algebraic equation). 2. To solve for $x$, we use algebraic manipulation rules such as isolating $x$ on one side of the equation. 3. Suppose the equation is $ax + b = c$, the formula to solve for $x$ is: $$x = \frac{c - b}{a}$$ 4. Important rules: - You can add or subtract the same value on both sides. - You can multiply or divide both sides by the same nonzero value. - Always perform inverse operations to isolate $x$. 5. Example: Solve $3x + 4 = 19$ 6. Subtract 4 from both sides: $$3x + 4 - 4 = 19 - 4$$ $$3x = 15$$ 7. Divide both sides by 3: $$\frac{\cancel{3}x}{\cancel{3}} = \frac{15}{3}$$ $$x = 5$$ 8. Therefore, the solution is $x = 5$. This method applies to any linear equation to find $x$ by isolating it step-by-step.