jadaplumley jadaplumley
  • 03-02-2020
  • Mathematics
contestada

X+2(x+3(x+4(x+5)))=153

Respuesta :

sam4040
sam4040 sam4040
  • 09-02-2020

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

[tex]4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1[/tex]

Answer Link

Otras preguntas

identify one important new mexican tradition.then, explain how this tradition represents an important idea or belief.then evaluate this tradition and tell how i
Which type of fitness is not based on performance? agility coordination speed flexibility
When did Lincoln begin his plan for reuniting the union
Find the length of each side
what is the force moving tectonic plates?
Font changes can be applied to____________. Question 11 options: A) only one word at a time. B) to as little as one letter. C) only a whole paragraphs. D) as li
The maintenance of political, social, economic, and cultural dominance over a people by a foreign power for an extended period is known as
First person to help me gets thanks give actual answer quickly !!
Andrew jackson's administration supported the removal of native americans from the eastern states because
How did economic imperialism lead to India’s becoming a British colony