Solve: \( 3x = 84 \), so \( x = 28 \).
["Solve ( 3x = 84 ) Step-by-Step: How to Find ( x = 28 ) Easily", "Linear equations are fundamental building blocks in algebra, and solving them is a crucial skill for students and anyone looking to strengthen their math foundation. One of the simplest and most common problems is solving for ( x ) in a linear equation like ( 3x = 84 ). In this article, we’ll walk through how to solve ( 3x = 84 ) step by step, explaining why ( x = 28 ), and why this method works for many similar equations.", "---", "### Understanding the Equation ( 3x = 84 )", "The equation ( 3x = 84 ) means that the number ( x ) multiplied by 3 gives a result of 84. While ( x ) is unknown, we can isolate it by performing inverse operations—specifically, dividing both sides of the equation by 3.", "---", "### Step-by-Step Solution", "Start with the equation:", "[\n3x = 84\n]", "To solve for ( x ), divide both sides by 3:", "[\nx = \frac{84}{3}\n]", "Now calculate:", "[\nx = 28\n]", "So, the solution is:", "[\nx = 28\n]", "---", "### Verifying the Solution", "To ensure our answer is correct, substitute ( x = 28 ) back into the original equation:", "[\n3x = 3 \ imes 28 = 84\n]", "Since both sides are equal, ( x = 28 ) satisfies the equation perfectly.", "---", "### Why This Method Works", "This approach relies on the fundamental principle of equality in algebra: performing the same operation on both sides of an equation preserves equality. Dividing both sides by 3 eliminates the coefficient of ( x ), isolating the variable. This method applies to any equation of the form ( ax = b ), where ( a ) and ( b ) are numbers. Simply divide by ( a ):", "[\nx = \frac{b}{a}\n]", "---", "### Why This Equation Matters", "Understanding how to solve simple linear equations like ( 3x = 84 ) lays the groundwork for solving more complex problems in algebra, geometry, and real-world applications. It teaches critical thinking, troubleshooting, and the ability to manipulate mathematical expressions—skills indispensable in STEM fields and everyday problem-solving.", "---", "### Summary", "- Start with: ( 3x = 84 )\n- Divide both sides by 3: ( x = \frac{84}{3} )\n- Calculate: ( x = 28 )\n- Verify by plugging back: ( 3 \ imes 28 = 84 )\n- Links to core algebra principles useful in broader math contexts", "---", "Mastering the solve ( 3x = 84 ) is more than just finding a number—it’s mastering a core problem-solving strategy. Repeat this process, and confidently tackle equations of all levels!", "---", "Keywords: solve ( 3x = 84 ), how to solve linear equations, step-by-step algebra, find ( x ) value, math tutorial, algebra basics, divide to isolate variable, equation solving technique", "Meta Description: Solve ( 3x = 84 ) step by step to find ( x = 28 ). Learn how to isolate variables and verify solutions with real examples and core algebra principles."]
