bryanllanas23 bryanllanas23
  • 24-05-2022
  • Mathematics
contestada

Find the value of x:
15(3x+11) = 15(7-13)

Respuesta :

Esther
Esther Esther
  • 24-05-2022

Answer:

[tex]\sf x=-\dfrac{17}{3}[/tex]

Step-by-step explanation:

Given: 15(3x + 11) = 15(7 - 13)

1. Divide both sides by 15:

[tex]\sf \dfrac{15(3x+11)}{15} = \dfrac{15(7-13)}{15}\\[/tex]

[tex]\sf 3x + 11 = 7 - 13[/tex]

2. Calculate the difference:

[tex]\sf 3x + 11 = -6[/tex]

3. Subtract 11 from both sides:

[tex]\sf 3x + 11 - 11 = -6 - 11[/tex]

[tex]\sf{3x = -17}[/tex]

4. Divide both sides by 3 to isolate the variable (x):

[tex]\sf \dfrac{3x}{3}=\dfrac{-17}{3}[/tex]

[tex]\sf x=-\dfrac{17}{3}[/tex]

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