33.8k views
3 votes
3 (x+4) -4 =2 (x+4) +x

What is the answer?
Solution of zero
No solution
Many solutions
X=1

1 Answer

0 votes

Answer:

Infinite amount of solutions

Explanation:

Step 1: Write equation

3(x + 4) - 4 = 2(x + 4) + x

Step 2: Solve for x

  1. Distribute: 3x + 12 - 4 = 2x + 8 + x
  2. Combine like terms: 3x + 8 = 3x + 8
  3. Subtract 8 on both sides: 3x = 3x
  4. Divide both sides by 3: x = x

Here we can see that x would be infinite amount of solutions. We can plug in any number x and it would render the equation true.

User Inperspective
by
4.9k points