\[ 0,7x - 0,5x = 5 - 4 \] - United Radiology

["Understanding the Equation: 0.7x – 0.5x = 5 – 4
\nSolve, Simplify, and Master This Linear Equation", "When faced with a simple linear equation like 0.7x – 0.5x = 5 – 4, it’s easy to rush through the solution. But understanding this equation step-by-step not only helps you find the value of x, it also strengthens your foundational algebra skills—key for mastering more advanced math topics.", "### What Is the Equation?", "We are solving:
\n0.7x – 0.5x = 5 – 4", "This equation involves basic operations with decimals and simple integer subtraction on both sides. Let’s break it down.", "---", "### Step 1: Simplify Both Sides", "Start by simplifying the left side:
\n0.7x – 0.5x = (0.7 – 0.5)x = 0.2x", "Now simplify the right side:
\n5 – 4 = 1", "Now the equation looks like:
\n0.2x = 1", "---", "### Step 2: Solve for x", "To isolate x, divide both sides by 0.2:
\nx = 1 ÷ 0.2", "To simplify this division, remember that dividing by a decimal is the same as multiplying by its reciprocal:
\n½ ÷ 0.2 = ½ ÷ (2/10) = ½ × (10/2) = ½ × 5 = 5/2 = 2.5", "So,
\nx = 2.5
\nor in fractional form:
\nx = \dfrac{5}{2}", "---", "### Why This Equation Matters", "This may seem like a basic arithmetic exercise, but solving linear equations like 0.7x – 0.5x = 5 – 4 is essential in algebra. These skills are critical in:
\n- Graphing linear functions
\n- Modeling real-world situations (e.g., budgeting, growth calculations)
\n- Preparing for higher math such as calculus and differential equations", "---", "### How to Solve Any Similar Equation", "1. Simplify each side by combining like terms or applying basic arithmetic.
\n2. Isolate the variable (x) by performing inverse operations.
\n3. Verify your solution by substituting x back into the original equation.", "---", "### Final Answer", "x = 2.5 or x = \dfrac{5}{2}", "Mastering such equations helps you build confidence and clarity in solving more complex algebraic expressions. Keep practicing—every step counts!", "For more tips and step-by-step guides on algebra, visit our algebra section and start building your mathematical expertise today.", "---", "Keywords:
\nlinear equation, solve for x, 0.7x – 0.5x = 5 – 4, algebra tutorial, simplify equation, algebraic solution, math practice, how to solve linear equations", "Meta Description:
\nLearn how to solve the equation 0.7x – 0.5x = 5 – 4 step-by-step. Get the solution x = 2.5 and understand the algebra behind it. Perfect for middle school and high school math practice.", "---", "Improve your understanding of linear equations and elevate your algebra skills. Solve smarter, not harder!"]