\[ -3x + 20 = 8 \] - United Radiology

["# Solve for ( x ): Understanding the Equation (-3x + 20 = 8)", "When confronted with a linear equation like (-3x + 20 = 8), solving for the variable ( x ) is not only a fundamental math skill but also key to understanding more complex algebraic concepts. Whether you're a student learning the basics or someone brushing up on algebra, solving equations step-by-step improves clarity and confidence.", "## What is the Equation (-3x + 20 = 8)?", "The equation (-3x + 20 = 8) is a first-degree linear equation. It represents a relationship between ( x ) and constant values, where the variable ( x ) appears with a coefficient of (-3). Our goal is to isolate ( x ) and find its precise value.", "## Step-by-Step Solution", "### Step 1: Subtract 20 from Both Sides", "To begin solving, eliminate the constant term on the left side. Subtract 20 from both sides of the equation:", "[
\n-3x + 20 - 20 = 8 - 20
\n]", "Simplify:", "[
\n-3x = -12
\n]", "### Step 2: Divide Both Sides by (-3)", "Next, isolate ( x ) by dividing both sides of the equation by (-3):", "[
\nx = \frac{-12}{-3}
\n]", "Simplifying:", "[
\nx = 4
\n]", "## Final Answer", "The solution to the equation (-3x + 20 = 8) is:", "[
\n\boxed{x = 4}
\n]", "## Why Solving for ( x ) Matters", "- Foundation of Algebra: Solving one-variable equations builds the logical structure for handling inequalities, systems of equations, and functions.
\n- Real-World Applications: Linear equations model real-life scenarios, such as budgeting, physics problems, or time-distance-speed calculations.
\n- Enhances Problem-Solving Skills: Mastering these steps strengthens analytical thinking, useful in advanced STEM fields.", "## Practice Tip", "Try rewriting the equation in different forms to reinforce understanding:
\nStarting from (-3x + 20 = 8), rewrite it as ( -3x = 8 - 20 ), then solve as shown above.", "---", "Keywords:
\n- Solve (-3x + 20 = 8)
\n- Linear equations solved step-by-step
\n- Algebraic solution for ( x )
\n- How to solve for variable ( x )
\n- Math tutorial: (-3x + 20 = 8)", "Meta Description:
\nLearn how to solve (-3x + 20 = 8) step-by-step. Understand why isolating ( x ) and simplifying correctly leads to the solution ( x = 4 ). Perfect for students and learners mastering algebra."]