Solve for \( x \): \( 3x + 6 = 90 \Rightarrow 3x = 84 \Rightarrow x = 28 \).

["Solve for ( x ): Step-by-Step Guide to ( 3x + 6 = 90 )", "Solving linear equations is a fundamental skill in algebra — and mastering it can simplify everything from daily budgeting to complex scientific calculations. In this article, we’ll walk through the process of solving the equation:", "[\n3x + 6 = 90\n]", "Understanding how to isolate ( x ) step by step not only helps with math homework but also builds critical thinking skills. Let’s dive into how to solve for ( x ) when faced with this type of equation.", "---", "### Step 1: Isolate the Term with ( x )", "The equation starts as:", "[\n3x + 6 = 90\n]", "To isolate the term with ( x ), subtract 6 from both sides:", "[\n3x + 6 - 6 = 90 - 6\n]", "This simplifies to:", "[\n3x = 84\n]", "Why? Subtracting 6 removes the constant on the left side, keeping the equation balanced. This step is essential and follows the algebraic principle of performing the same operation on both sides.", "---", "### Step 2: Solve for ( x )", "Now we have:", "[\n3x = 84\n]", "To solve for ( x ), divide both sides by 3:", "[\n\frac{3x}{3} = \frac{84}{3}\n]", "This gives:", "[\nx = 28\n]", "Why? Dividing both sides by 3 cancels the coefficient of ( x ), isolating the variable ( x ). This division maintains equality throughout the equation.", "---", "### Final Result", "[\nx = 28\n]", "To verify, substitute ( x = 28 ) back into the original equation:", "[\n3(28) + 6 = 84 + 6 = 90\n]", "The equation holds true — confirming our solution is correct.", "---", "### Why Balancing Equations Matters in Real Life", "Mastering solve–for–x problems isn’t just academic — solving linear equations trains your ability to analyze relationships and maintain balance in mathematical and real-world scenarios. Whether you’re calculating profits, measuring ingredients, or planning budgets, these algebraic techniques form the backbone of logical decision-making.", "---", "### Summary", "- Start with the equation: ( 3x + 6 = 90 )\n- Subtract 6 from both sides to isolate ( 3x ): ( 3x = 84 )\n- Divide by 3 to solve for ( x ): ( x = 28 )\n- Always verify your solution for accuracy", "Understanding how to solve ( 3x + 6 = 90 ) opens the door to more complex equations and builds confidence in handling mathematical challenges around you.", "---", "Keywords: solve for ( x ), linear equation, algebra, mathematical steps, solve ( 3x + 6 = 90 ), isolate variable, algebra tutorial, equation solving, step-by-step math, ( x = 28 ), verify equation, algebraic methods.", "---\nWant more math help? Check out our tutorials on solving systems of equations and applying algebra in real-world problems!"]