Respuesta :

Answer:

one solution.

Step-by-step explanation:

Distribute = 8x + 16 = 2x + 16

put like terms on same side 8x - 2x = 16 - 16

simplify 6x = 0

divide 0/6=x

x is 0

renknee

Answer:

1 solution- x = 0.

Step-by-step explanation:

1. To find how many solutions this equation has, we first have to solve the equation ourselves.

2. (Solving)

Step 1: Simplify both sides of the equation.

  • [tex](8)(x)+(8)(2)=2x+16[/tex]
  • [tex]8x + 16 = 2x + 16[/tex]

Step 2: Subtract 2x from both sides.

  • [tex]8x + 16 - 2x = 2x + 16 - 2x[/tex]
  • [tex]6x + 16 = 16[/tex]

Step 3: Subtract 16 from both sides.

  • [tex]6x + 16 - 16 = 16 - 16[/tex]
  • [tex]6x = 0[/tex]

Step 4: Divide both sides by 6.

  • [tex]\frac{6x}{6} =\frac{0}{6}[/tex]
  • [tex]x = 0[/tex]

Step 5: Check if solution is correct.

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

3. As you can see, there's only one solution that satisfies the value of x in the equation.

Therefore, the answer is 1 solution- x = 0.

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