Solve: \( 3x = 69 \) → \( x = 23 \)

["Solve ( 3x = 69 ): Step-by-Step Explanation", "Mathematics often presents clear solutions to equations, and one of the simplest algebra problems involves solving for ( x ) in the equation ( 3x = 69 ). This equation is fundamental, frequently used in classrooms and practical applications, and understanding how to solve it builds confidence in algebra.", "### What is the Equation?", "The equation ( 3x = 69 ) means that 3 multiplied by an unknown number ( x ) equals 69. To find ( x ), we must isolate ( x ) by performing the same operation on both sides of the equation.", "### Step-by-Step Solution", "Step 1: Start with the equation\n[\n3x = 69\n]", "Step 2: Divide both sides by 3\nTo isolate ( x ), divide every term by 3:\n[\n\frac{3x}{3} = \frac{69}{3}\n]\nSimplifying gives:\n[\nx = 23\n]", "### Why Does This Work?", "Dividing both sides of the equation by 3 maintains equality, a fundamental property of equality in algebra. This operation effectively "undoes" the multiplication by 3, revealing the value of ( x ).", "### How Is This Used in Real Life?", "Equations like ( 3x = 69 ) model real-world situations where consistent rates or groupings are involved. For example:\n- If each box contains 3 apples and you have 69 apples total, you can determine the number of boxes: ( x = 23 ).\n- In budgeting, calculating unit costs or dividing resources evenly relies on solving similar equations.", "### Final Answer", "[\nx = 23\n]", "### Summary", "Solving ( 3x = 69 ) leads directly to ( x = 23 ) using basic algebraic principles. Clearing the variable reveals the solution and empowers you to apply algebraic thinking across a variety of practical problems. Master this foundational skill and progress confidently in your mathematics journey!", "Keywords: solve 3x = 69, algebra equation solve, step-by-step x = 23, how to solve 3x = 69, linear equation solution, simplify 3x = 69, real-world math equation"]