Question

How many solutions does the following equation have? -4x + 2x - 5 = 3x + 7

Answer 1

one solution: -12/5

Explanation:

Solution

To find how many solutions the equation has, we have to solve for the equation first!

Step 1: Combine like terms.

• 
  `(-4x+2x)+(-5)=3x+7`
• 
  `-2x-5=3x+7`

Step 2: Subtract 3x from both sides.

• 
  `-2x-5-3x=3x+7-3x`
• 
  `-5x-5=7`

Step 3: Add 5 to both sides.

• 
  `-5x-5+5=7+5`
• 
  `-5x=12`

Step 4: Divide both sides by -5.

• 
  `-5x/5=12/-5`
• 
  `x=-12/5`

Therefore, the answer is one solution