Question

Step Property/Reason
1) 5 - 2(3x + 5) = -47 Given
2)
3)
4)
5)

Answer 1

Let's solve the equation step by step. We start with the equation given in Step 1:

**Step 1:**
\[ 5 - 2(3x + 5) = -47 \]
(Original Equation)

**Step 2:**
Distribute \(-2\) to both terms in the parentheses:
\[ 5 - 6x - 10 = -47 \]
(Distributing)

**Step 3:**
Combine like terms on the left side:
\[ -6x - 5 = -47 \]
(Combine \(5\) and \(-10\))

**Step 4:**
Add \(5\) to both sides:
\[ -6x = -42 \]
(Add \(5\) to both sides to isolate the term with \(x\))

**Step 5:**
Divide by \(-6\):
\[ x = 7 \]
(Dividing both sides by \(-6\))

So the completed steps are:

1) \( 5 - 2(3x + 5) = -47 \) \( \quad\) Given
2) \( 5 - 6x - 10 = -47 \) \( \quad\) Distributing
3) \( -6x - 5 = -47 \) \( \quad\) Combining like terms
4) \( -6x = -42 \) \( \quad\) Adding \(5\) to both sides
5) \( x = 7 \) \( \quad\) Dividing by \(-6\)