All categories

1 year ago

Solve for x. -8x-8=-5x+13

Mathematics

2 answers:

Troyanec [42]1 year ago

8 0

Answer:

x = - 7

Step-by-step explanation:

1) Add 8 to both sides.

-8x-8=-5x+13

-8x - 8 + 8 = -5x + 13 + 8

2) Simplify

- Add the numbers

-8x - 8 + 8 = -5x + 13 + 8

-8x = -5x + 13 + 8

- Add the numbers

-8x = -5x + 13 + 8

-8x = -5x + 21

3) Simplify

- Combine like terms

-8x + 5x = -5x + 21 + 5x

-3x = -5x + 21 + 5x

- Combine like terms

-3x = -5x + 21 + 5x

-3x = 21

4) Divide both sides by the same factor

-3x + 21

-3x/-3 = 21/-3

6) Simplify

- Cancel terms that are in the numerator and denominator

-3x/-3 = 21/-3

x = 21/-3

- Divide the numbers

x = 21/-3

x = -7

klasskru [66]1 year ago

7 0

The answer would be x = -7.
Hope this helps!

You might be interested in

A factory found that 8% of its produced light bulbs are defective.

Anastaziya [24]

Answer:

Step-by-step explanation:

no. of defective light bulbs= 8/100×500

= 40

3 0

2 years ago

Selena's family went on a trip. The total hotel bill was $659 . The cost of the airfare was $633. use mental math to find the to

Vilka [71]

659+633

=1292

hope this helps

4 0

3 years ago

Read 2 more answers

find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first

zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12 use distributive property

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12 subtract 12 from both sides

4n = 6n - 24 subtract 6n from both sides

-2n = -24 divide both sides by (-2)

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>

4 0

3 years ago

jamerra received a $3,00 car loan. she plans on paying off the loan in 2 years. at the end of 2 years, jamerra will have paid $4

leonid [27]

The rate of interest is 75 % per year

Solution:

Given that, Jamerra received a $3,00 car loan

she plans on paying off the loan in 2 years

Jamerra will have paid $450 in interest

Therefore, we get

Principal = $ 300

Number of years = 2

Simple Interest = $ 450

Rate of interest = ?

The simple interest is given by formula:

$simple\ Interest = \frac{p \times n \times r}{100}$

Where,

"p" is the principal and "n" is the number of years and "r" is the rate of Interest

Substituting the given values we get,

$450 = \frac{300 \times 2 \times r}{100}\\\\450 = 3 \times 2 \times r\\\\6r = 450\\\\r = \frac{450}{6}\\\\r = 75$

Thus rate of interest is 75 % per year

5 0

2 years ago

Reflect the point (7,0) across the y-axis

stiks02 [169]

$A(7,0)\Longrightarrow\boxed{A'(-7,0)}$

Hope this helps.

r3t40

3 0

3 years ago

Read 2 more answers