Respuesta :

Answer:

x = -9

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{28=-9x-8+5x}[/tex]

First, simplify the like term of x-variable:

[tex]\displaystyle{28=-8-4x}[/tex]

Then add both sides by 8 since we are trying to solve for x, we have to isolate x:

[tex]\displaystyle{28+8=-8+8-4x}\\\\\displaystyle{36=-4x}[/tex]

Finally, divide both sides by -4, without forgetting that dividing positive with negative always result in negative:

[tex]\displaystyle{\dfrac{36}{-4}=\dfrac{-4x}{-4}}\\\\\displaystyle{-9=x}[/tex]

And also, dividing negative with negative is always positive. You can think like this:

  • Dividing or multiplying same operators (plus and plus or minus and minus) = positive
  • Dividing or multiplying different operators (minus and plus) = negative

And thus, x = -9