Respuesta :

Answer:

x = -4

Step-by-step explanation:

Step 1: Apply distributive property.

  • [tex](4)(x)+(4)(2)-2x=0[/tex]
  • [tex]4x + 8 - 2x = 0[/tex]

Step 2: Combine like terms.

  • [tex](4x-2x)+(8)=0[/tex]
  • [tex]2x + 8 = 0[/tex]

Step 3: Subtract 8 from both sides.

  • [tex]2x + 8 - 8 = 0 - 8[/tex]
  • [tex]2x = -8[/tex]

Step 4: Divide both sides by 2.

  • [tex]\frac{2x}{2} = \frac{-8}{2}[/tex]
  • [tex]x = -4[/tex]

Step 5: Check if solution is correct.

  • [tex]4(-4+2)-2(-4)=0[/tex]
  • [tex](4)(-4)+(4)(2)+8=0[/tex]
  • [tex]-16 + 8 + 8 = 0[/tex]
  • [tex]-8 + 8 = 0[/tex]
  • [tex]0 = 0[/tex]

Therefore, x = -4.