Simplify: \( 2x + 2 = 146 \) - United Radiology

April 20, 2026 · United Radiology

["Simplify the Equation: Step-by-Step Guide to Solve ( 2x + 2 = 146 )", "Solving linear equations like ( 2x + 2 = 146 ) may seem challenging at first, but with a clear method, you can simplify it quickly and confidently. Whether you're a student brushing up on algebra basics or someone looking to sharpen problem-solving skills, understanding how to simplify equations step-by-step is essential.", "### The Equation:
\n[ 2x + 2 = 146 ]", "### Step 1: Isolate the Term with the Variable
\nThe goal is to get ( x ) by itself. Start by eliminating the constant term on the left side—in this case, the ( +2 ). Subtract 2 from both sides of the equation to maintain balance:", "[
\n2x + 2 - 2 = 146 - 2
\n]", "This simplifies to:", "[
\n2x = 144
\n]", "### Step 2: Solve for ( x )
\nNow, you have ( 2x = 144 ). To isolate ( x ), divide both sides by 2:", "[
\n\frac{2x}{2} = \frac{144}{2}
\n]", "Which simplifies to:", "[
\nx = 72
\n]", "### Why This Works: The Balance Method
\nAlgebra relies on the fundamental principle that whatever action you perform on one side of the equation must also occur on the other. This keeps both sides equal and ensures the solution is accurate. By systematically canceling out constants and coefficients, we simplify the equation until the variable stands alone.", "### Final Answer:
\n[
\nx = 72
\n]", "### Use in Real Life
\nEquations like this appear frequently in math problems, science experiments, budgeting, and even programming. Knowing how to simplify and solve equations empowers you to find unknown values efficiently.", "### Summary
\n- Subtract constants from both sides to simplify.
\n- Divide through by coefficients to isolate the variable.
\n- Always maintain balance using the equality principle.", "Mastering this straightforward method not only solves ( 2x + 2 = 146 ) but builds a strong foundation for tackling more complex equations. Keep practicing, and solving equations will become second nature!", "---", "Keywords: simplify equation, solve 2x + 2 = 146, algebra step-by-step, linear equations, how to solve 2x + 2 = 146, equation solving method, algebraic problem solving."]

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