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b) \( 5 x+4=11 \)

Ask by Matthews Hills. in Australia
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( x = \frac{7}{5} \) or \( x = 1.4 \).

Solution

Sure, let's solve the equation step by step: **Given Equation:** \[ 5x + 4 = 11 \] **Step 1: Subtract 4 from both sides** \[ 5x + 4 - 4 = 11 - 4 \] \[ 5x = 7 \] **Step 2: Divide both sides by 5 to isolate \( x \)** \[ \frac{5x}{5} = \frac{7}{5} \] \[ x = \frac{7}{5} \] **Final Answer:** \[ x = \frac{7}{5} \quad \text{or} \quad x = 1.4 \] So, the solution to the equation \( 5x + 4 = 11 \) is \( x = \frac{7}{5} \) or \( x = 1.4 \).

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The Deep Dive

To solve the equation \( 5x + 4 = 11 \), start by isolating the variable \( x \). Subtract 4 from both sides to get \( 5x = 7 \). Then, divide both sides by 5 to find \( x = \frac{7}{5} \), or 1.4. Easy peasy! One common mistake here is forgetting to move the constant term over before dividing. Always remember to focus on isolating the variable step by step to avoid confusion!

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