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11:32 61 Done deltamath.com Assignment Overview 20 DeltaMath One Step Equations with (Positive) Decima This is the only question in this section. Question Video Examples Find the value of \( x \) in the equation below. \[ 13.6=x-14.1 \] Answer Attempt 1 out of 2 \[ x= \] \( \square \) Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved.

Ask by Mathis Huang. in the United States
Feb 03,2025

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Tutor-Verified Answer

Answer

\( x = 27.7 \)

Solution

To find the value of \( x \) in the equation: \[ 13.6 = x - 14.1 \] **Step 1:** **Isolate \( x \) by adding 14.1 to both sides of the equation.** \[ 13.6 + 14.1 = x - 14.1 + 14.1 \] **Step 2:** **Simplify both sides.** \[ 27.7 = x \] **Final Answer:** \[ x = 27.7 \]

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The Deep Dive

To solve the equation \( 13.6 = x - 14.1 \), you want to isolate \( x \). Start by adding \( 14.1 \) to both sides, which gives you \( 13.6 + 14.1 = x \). This simplifies to \( x = 27.7 \). So, the value of \( x \) is \( 27.7 \) — easy peasy! In math, one-step equations are used in real life all the time! For example, when you're trying to determine the final price after a discount or finding out how much more you need to save to reach a goal. Knowing how to manipulate these equations can help boost your confidence in handling everyday financial decisions, like budgeting or planning a shopping spree!

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