Make this quistion simplar answers, 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

3 answers

To solve the equation \( 2x - 5 = 3(4x + 5) \), here are the steps simplified:

Step 1: Distribute on the right side:
\( 3(4x + 5) \) becomes \( 12x + 15 \).
So the equation is now \( 2x - 5 = 12x + 15 \).

Step 2: Move all \( x \) terms to one side.
Subtract \( 2x \) from both sides:
\( -5 = 10x + 15 \).

Step 3: Move the constant to the other side.
Add 5 to both sides:
\( 0 = 10x + 20 \).

Step 4: Isolate \( x \).
Subtract 20 from both sides, then divide by 10:
\( -20 = 10x \) → \( x = -2 \).

So the four steps are:

  1. Distribute.
  2. Move \( x \) terms to one side.
  3. Move constants to the other side.
  4. Isolate \( x \).
Make it simpler

Sure! Here’s a simpler breakdown of the steps to solve the equation \( 2x - 5 = 3(4x + 5) \):

  1. Distribute: Change \( 3(4x + 5) \) to \( 12x + 15 \).
    Now you have: \( 2x - 5 = 12x + 15 \).

  2. Move \( x \) terms: Subtract \( 2x \) from both sides.
    Now you have: \( -5 = 10x + 15 \).

  3. Move constants: Add \( 5 \) to both sides.
    Now you have: \( 0 = 10x + 20 \).

  4. Solve for \( x \): Subtract 20, then divide by 10.
    You get: \( x = -2 \).

So, in simpler terms:

  1. Distribute.
  2. Subtract \( 2x \).
  3. Add \( 5 \).
  4. Solve for \( x \).