Subjects algebra

Linear Equation F2A8Bb

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem Statement:** We need to explain a math problem with full equations and formulas in detail. 2. **General Approach:** To solve algebraic problems, we use formulas and rules such as distributive property, combining like terms, factoring, and solving equations. 3. **Example:** Suppose we want to solve the linear equation $2x + 3 = 7$. 4. **Step 1: Isolate the variable term.** Subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ $$2x = 4$$ 5. **Step 2: Solve for $x$ by dividing both sides by 2:** $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ $$x = 2$$ 6. **Explanation:** We used subtraction to isolate the term with $x$, then division to solve for $x$. This is a basic linear equation solving method. 7. **Summary:** The formula used is $ax + b = c \Rightarrow x = \frac{c - b}{a}$ where $a \neq 0$. This detailed explanation shows how to solve a simple linear equation step-by-step.