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
vlabodo [156]
3 years ago
8

Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

You might be interested in
5(2x-3) –3(x+4)/9?
kvv77 [185]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Which of the following numbers are in scientific notation?​
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

third option I believe

7 0
3 years ago
K-3k²-3k+2k²<br><br><br>what is the answer<br>please help me​
laiz [17]

Answer:

Assuming you want to simplify the expression, it can be shortened to:

-k² - 2k

Step-by-step explanation:

What you need to do here is called grouping like terms.  Like terms can be described as terms that have the same factors.  In this case, the factors we're looking at are k and k²:

Given:

k - 3k² -3k + 2k²

We'll rearrange to group like expressions:

= -3k² + 2k² + k -3k

Pull out common factors:

= (-3 + 2)k² + (1 - 3)k

And simplify:

= -k² - 2k

5 0
3 years ago
Find the simple interest on a $340 loan at a 15% annual interest rate for 1<br> year
Crank

Answer:

$51.

Step-by-step explanation:

Interest I = PRT/100   where P = amount of the loan , R = rate and T = the times in years.

I = 340 * 15 * 1 / 100

= 5100/100

= $51.

4 0
3 years ago
Read 2 more answers
The given line passes through the points (-1,-1) and (4.1).
ira [324]

Answer:

(-1,-1) and (4.1).

                                     1+1

slope of the line: m= ------- = 2/5

                                     4+1

the slope of the perpendicular line:  -5/2  and   point  (-1,3)

(y-3) = -5/2(x+1)

6 0
3 years ago
Other questions:
  • Austin bought 10 reams of paper at the store for a total of $84.00. the tax on the purchase was $4.00. what was the cost of each
    7·2 answers
  • What two numbers multiply to -60 and add to -11
    8·1 answer
  • The number of eggs in the refrigerator e decreased by 2 equals 15.
    8·1 answer
  • A demolition ball weighs 2 tons. What is the equivalent weight in ounces?
    13·1 answer
  • What is the measure of each interior angle of a<br> regular 15-gon?
    11·1 answer
  • What is the weight of this pear
    11·1 answer
  • Simplify 52.54<br> O A. 56<br> OB. 52<br> O C. 58<br> O D. 5.8
    10·2 answers
  • PLZ HElP -- Examine these quadratic graphs. The black parabola is the parent function, y = x2, which is actually in the vertex f
    10·1 answer
  • 20.
    11·2 answers
  • Hannah needed to buy new clothes because she had a growth . Clothing Mart was having a all of the jeans and t- shirts. Jeans wer
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!