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Solve for x:
x + 3x - 19 = 17


Sagot :

Answer:

[tex]\boxed{\boxed{\sf{x=9}}}[/tex]

Solution Steps:

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1.) Combine x and 3x:

  • [tex]x+3x=4x[/tex]

 - We combine the [tex](x)[/tex] variables because to get to the end sum of the equation, there can only be 1 variable. So to get the 1, you combine like terms.

2.) Add 19 to both sides:

  • [tex]-19+19=[/tex] Cancels Out
  • [tex]17+19=36[/tex]

 - We do this to get 1 number left over. To do this you do the opposite of what you see. In this case we have a negative 19, so you add 19 on each side of the equals.

3.) Divide both sides by 4:

  • [tex]4x[/tex] ÷ [tex]4=x[/tex]
  • [tex]36[/tex] ÷ [tex]4=9[/tex]

 - We do this to get x alone. To do this you do the opposite of what you see. In this case we have [tex]4(x)[/tex] which is multiplying, so you divide by 4 on each side.

So your answer is [tex]\bold{x=9}[/tex].

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