Respuesta :

Answer:

[tex]\boxed{x=8}[/tex]

Solution Steps:

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1.) To find the opposite of 10−x, find the opposite of each term:

  • [tex]10[/tex] × [tex]-1=-10[/tex]
  • [tex]-x[/tex] × [tex]-1=-x[/tex]

 - This is another way of saying multiply each side by -1.

2.) Find the opposite of −x:

  • [tex]-x=x[/tex]

 - Since we have 2 negatives next to each other, one must be turned into a positive, in this case it's the x.

3.) Combine −7x and x:

  • [tex]-7x+x=-6x[/tex]

 - Combine them because you can only have one variable (x) in the end.

4.) Add 10 to both sides:

  • [tex]-10+10=[/tex]
  • [tex]-58+10=-48[/tex]

 - We do this to get rid of not only the 10 but the other numbers as well, and the only way to do so it to cancel them out.

5.) Divide both sides by −6:

  • [tex]-6x[/tex] ÷ [tex]-6=x[/tex]
  • [tex]-48[/tex] ÷ [tex]-6=8[/tex]

 - We do this to get x alone with one number left over, and the only way to do so is to cancel everything out by dividing.

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