1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
almond37 [142]
3 years ago
14

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

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

x=1

Step-by-step explanation:

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

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

You might be interested in
Solve the equation. Check your answers.<br>29=7x+5-4x​
Vladimir [108]

Answer:

x = 8

Step-by-step explanation:

29=7x + 5 -4x

add like terms: 29 = 3x +5

get your x variable on one side

24 = 3x

divide by 3

x = 8

check!

29 = 7(8) + 5 -4(8)

29 = 56 + 5 -32

29 = 51 - 32

29 = 29

6 0
3 years ago
Thirty-six divided by six
Musya8 [376]

Answer:

6

Step-by-step explanation:

6 0
2 years ago
Todd begins piano practice ar 4:15 p.m. and ends at 5:50 p.m. How long does he practice
kumpel [21]
He practiced for 1 hour and 30 minutes
4 0
3 years ago
Read 2 more answers
Área de un cuadrado de 5 cm otro de 4 cm y de 8 cm cual es el Area.​
Dmitriy789 [7]

Answer:

Bruv, this is an English server.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which relationship describe angles 1 and 2
inn [45]
They are supplementary angles. They are located on a straight line, and when added together they will add up to 180 degrees.
7 0
3 years ago
Other questions:
  • Ten pictures, each measuring 4 inches by 6 inches, are mounted on a piece of green poster board so that there is no overlap. The
    14·1 answer
  • (CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probabi
    7·1 answer
  • Refer to the number line given. List two situations or problems for which you have used a number line in the past.
    9·1 answer
  • Emily bikes 18 miles in 2 hours. Ella bikes 22 miles in 2.5 hours. Which rate is better?
    9·1 answer
  • The diameter of a circle is 6inches . What is the circumference
    14·1 answer
  • Which rule describes the composition of transformations that maps ABC to A"B"C"?
    8·1 answer
  • Can somebody show the work for the both on a picture or link to a pdf or something?
    10·1 answer
  • Draw a model to represent 42/7
    13·1 answer
  • Х
    14·1 answer
  • Bongiwe invests R12 000 in a savings account at 6,5% per annum compound interest. Calculate how much there will be in the saving
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!