Total: $ x + (3x - 7) = 89 $.
["How to Solve the Equation: x + (3x - 7) = 89", "Understanding how to solve linear equations is a fundamental skill in algebra, and equations like x + (3x - 7) = 89 form the basis of many advanced math concepts. Whether you're a student cracking Math homework or someone exploring problem-solving techniques, mastering this equation will strengthen your algebraic foundation.", "### Breaking Down the Equation", "We start with:", "$$\nx + (3x - 7) = 89\n$$", "This equation combines variables and constants. First, simplify the left-hand side by removing the parentheses:", "$$\nx + 3x - 7 = 89\n$$", "Now, combine like terms—x and 3x:", "$$\n4x - 7 = 89\n$$", "### Isolating the Variable", "Next, isolate the variable by eliminating the constant term. Add 7 to both sides:", "$$\n4x = 89 + 7\n$$", "$$\n4x = 96\n$$", "Now, divide both sides by 4:", "$$\nx = \frac{96}{4} = 24\n$$", "### Verifying the Solution", "Plug ( x = 24 ) back into the original equation to ensure correctness:", "$$\n24 + (3 \cdot 24 - 7) = 24 + (72 - 7) = 24 + 65 = 89\n$$", "Since both sides match, our solution is verified.", "### Why Solving Equations Matters", "Linear equations like x + (3x - 7) = 89 are more than just math puzzles—they form the basis for modeling real-world problems, from budgeting and planning to science and engineering applications. Understanding how to manipulate and solve such equations builds logical reasoning and analytical thinking.", "### Summary", "- Start with: ( x + (3x - 7) = 89 )\n- Simplify: ( 4x - 7 = 89 )\n- Add 7 to both sides: ( 4x = 96 )\n- Divide by 4: ( x = 24 )\n- Verify: ( 24 + (72 - 7) = 89 )", "Now you know how to solve this type of linear equation with confidence! Keep practicing to unlock stronger algebra skills and tackle increasingly complex challenges.", "---", "Try solving: x + (3x - 7) = 89 — your journey to mastering linear equations starts here!"]
