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Order the steps for solving the equation: 2x−5=3(4x+5) (8 points) 2x−5=3(4x+5) Step 1: Property to get Step 2: Property to get Step 3: Property to get Step 4: Property to get

Awnsers step one awnsers: Division of Equality
Distributive
Combine Like Terms
Subtraction of Equality
Addition of Equality

awnsers: step 2: Addition of Equality
Combine Like Terms
Division of Equality
Distributive

step 3
Distributive
Subtraction of Equality
Combine Like Terms
Division of Equality

step 4
Distributive
Division of Equality
Combine Like Terms
Addition of Equality

1 answer

To solve the equation \( 2x - 5 = 3(4x + 5) \), the steps can be ordered as follows:

  1. Step 1: Distributive - First, distribute the \(3\) on the right side of the equation:
    \[ 2x - 5 = 12x + 15 \]

  2. Step 2: Subtraction of Equality - Next, subtract \(12x\) from both sides:
    \[ 2x - 12x - 5 = 15 \]
    This simplifies to:
    \[ -10x - 5 = 15 \]

  3. Step 3: Addition of Equality - Then, add \(5\) to both sides:
    \[ -10x = 20 \]

  4. Step 4: Division of Equality - Finally, divide both sides by \(-10\):
    \[ x = -2 \]

So, the correct order of the steps for solving the equation is:

  • Step 1: Distributive
  • Step 2: Subtraction of Equality
  • Step 3: Addition of Equality
  • Step 4: Division of Equality