8x - 5x = 15 + 4 \Rightarrow 3x = 19 \Rightarrow x = rac{19}{3}

["Understanding the Equation: 8x – 5x = 15 + 4 and Solving for x", "In algebra, solving a simple linear equation like 8x – 5x = 15 + 4 helps build foundational math skills essential for more complex problem-solving. In this step-by-step guide, we’ll explore how to solve the equation 8x – 5x = 15 + 4 and arrive at the solution: x = 19/3. This example demonstrates the key algebraic principles every student and learner should master.", "---", "### Step 1: Simplify Both Sides of the Equation", "Start with the given equation:\n8x – 5x = 15 + 4", "- Combine like terms on the left:\n ( 8x - 5x = 3x )\n So, the left side becomes 3x", "- Simplify the right side by adding:\n15 + 4 = 19", "Now the equation looks like:\n3x = 19", "---", "### Step 2: Isolate the Variable x", "To solve for x, divide both sides by 3:\n[\nx = \frac{19}{3}\n]", "This fraction represents the exact solution. As a decimal, ( \frac{19}{3} \approx 6.333 ), but the fractional form is preferred in exact algebraic expressions.", "---", "### Why This Equation Matters", "The expression 8x – 5x = 15 + 4 might seem basic, but it reinforces core algebraic techniques:", "- Combining like terms\n- Simplifying expressions\n- Isolating the variable using inverse operations\n- Working with fractions", "These skills form the backbone for solving more advanced equations, manipulation of formulas, and graphing linear functions.", "---", "### Final Step: Verify the Solution", "Plug x = 19/3 back into the original equation:", "Left side:\n( 8x - 5x = 3x = 3 \cdot \frac{19}{3} = 19 )", "Right side:\n( 15 + 4 = 19 )", "Both sides equal 19 → Solution is correct!", "---", "### Conclusion", "Solving 8x – 5x = 15 + 4 yields x = 19/3, a clear demonstration of algebraic simplification. Whether you’re a student learning algebra or someone brushing up on core math skills, mastering steps like combining terms and solving for variables ensures you’re prepared for more complex mathematical challenges.", "Key Takeaway:\n- Simplify each side independently\n- Use inverse operations to isolate the variable\n- Always check your solution by substituting back", "---", "Related Topics:\n- Solving linear equations\n- Simplifying algebraic expressions\n- Working with fractions and decimals\n- Algebra for beginners", "By understanding and practicing equations like 8x – 5x = 15 + 4, you build confidence and competence—in math and beyond."]