Question
4) On the last page solve the following equation showing all steps. \( 4(x+7)+13=25 \)
Ask by Hilton Olson. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -4 \)
Solution
Certainly! Let's solve the equation step by step:
**Given Equation:**
\[ 4(x + 7) + 13 = 25 \]
**Step 1: Distribute the 4 into the parentheses.**
\[ 4 \times x + 4 \times 7 + 13 = 25 \]
\[ 4x + 28 + 13 = 25 \]
**Step 2: Combine like terms (28 and 13).**
\[ 4x + 41 = 25 \]
**Step 3: Subtract 41 from both sides to isolate the term with \( x \).**
\[ 4x + 41 - 41 = 25 - 41 \]
\[ 4x = -16 \]
**Step 4: Divide both sides by 4 to solve for \( x \).**
\[ \frac{4x}{4} = \frac{-16}{4} \]
\[ x = -4 \]
**Solution:**
\[ x = -4 \]
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Simplify this solution Beyond the Answer
To solve \( 4(x+7)+13=25 \), let's start by distributing the \( 4 \): Step 1: Distribute: \[ 4 \cdot x + 4 \cdot 7 + 13 = 25 \] \[ 4x + 28 + 13 = 25 \] Step 2: Combine like terms: \[ 4x + 41 = 25 \] Step 3: Isolate \( 4x \) by subtracting \( 41 \) from both sides: \[ 4x = 25 - 41 \] \[ 4x = -16 \] Step 4: Divide both sides by \( 4 \) to solve for \( x \): \[ x = \frac{-16}{4} \] \[ x = -4 \] So the solution to the equation is \( x = -4 \).
