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]
