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
elena55 [62]
3 years ago
10

Please solve, -7x+8=-4(x+1)​

Mathematics
2 answers:
omeli [17]3 years ago
5 0

Answer: x=4

<u>Simplify both sides of the equation.</u>

<u></u>-7x+8=-4(x+1)\\-7x+8=(-4)(x)+(-4)(1)(Distribute)\\-7x+8=-4x+-4<u></u>

<u></u>

<u>Add 4x to both sides</u>

<u></u>-7x+8+4x=-4x-4+4x\\-3x+8=-4<u></u>

<u></u>

<u>Subtract 8 from both sides</u>

<u></u>-3x+8-8=-4-8\\-3x=-12

<u>Divide both sides by -3</u>

<u></u>-3x/-3=-12/-3\\x=4<u></u>

Helga [31]3 years ago
4 0

Answer:

x=4

Step-by-step explanation:

Let's first simplify the equation.  

-7x+8= -4x-4                    

You get -4x-4 by distributing the -4 into the numbers in the parenthesis because -4 is right outside the parenthesis.

-4 times x= -4x

-4 times 1= -4

-7x+8= -4x-4

Next, move the -4x to where the -7x is because we want to combine like terms.  When a number moves to the opposite side, it changes from positive to negative or negative to positive.  Like here: -4x moves to a different side, so it becomes +4x.  

-7x+4x+8= -4  

Do the same for 8.  Since -4 is on the other side, move 8 to that side.  It turns from +8 to -8.

-7x+4x= -4-8

Combine like terms and solve.  

-7x+4x= -3x

-4-8= -12

So we have this now: -3x= -12

Since 12 divided by 3 is 4, and negative with negative is positive, it becomes positive 4. :)

You might be interested in
Determine the equation of the line that passes through the points (-1 , 10) and (2,4)
docker41 [41]

Given:

The two points are (-1,10) and (2,4).

To find:

The equation of line which passes though the given points.

Solution:

If a line passes through two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through (-1,10) and (2,4). So, the equation of line is

y-10=\dfrac{4-10}{2-(-1)}(x-(-1))

y-10=\dfrac{-6}{2+1}(x+1)

y-10=\dfrac{-6}{3}(x+1)

y-10=-2(x+1)

Using distributive property, we get

y-10=-2x-2

Adding 10 both sides, we get

y=-2x-2+10

y=-2x+8

Therefore, the required equation of line is y=-2x+8.

5 0
3 years ago
For the second week of November, Eric White worked $41.75 hours. Eric earns $19 an hour. His employer pays overtime for all hour
Effectus [21]
19x41.75 hours with 1.75 hours of extra would equal $678.23
6 0
3 years ago
Multiply each set of numbers and match it with it’s product
Fynjy0 [20]

Answer:

1. 1. (\frac{5}{16}) (-2) (-4) (\frac{-4}{5})= -2 \\2. (2\dfrac{3}{5}) (\frac{7}{9})=(\frac{91}{45})\\3. (\frac{2}{3})(-4)(9)= -24\\4. (\frac{-3}{4}) (\frac{7}{8})=(\frac{-21}{32})

Step-by-step explanation:

These are simple multiplication questions of fractions. We multiply numerator with numerators and denominators with denominators. If numerator and denominator is both divisible by same number we can divide them for simplification.

1. (\frac{5}{16}) (-2) (-4) (\frac{-4}{5})

=(\frac{-10}{16}) (-4) (\frac{-4}{5})\\=(\frac{40}{16}) (\frac{-4}{5})\\=(\frac{-160}{80}) \\dividing\,\, numerator\,\, and\,\, denominator\,\, by\,\, 80\,\,\\= -2

2. (2\dfrac{3}{5}) (\frac{7}{9})

Converting mixed form into fraction form,

=(\frac{13}{5})(\frac{7}{9})

Multiplying numerators with each other and denominators with each other

=(\frac{13*7}{5*9})\\=(\frac{91}{45})

3. (\frac{2}{3})(-4)(9)

Multiplying these terms with each other:

=(\frac{2*-4}{3})(9)\\=(\frac{-8}{3})(9)\\=(\frac{-8*9}{3})\\=(\frac{-72}{3})\\

Dividing numerator and denominator with 3

=-24 

4. (\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3*7}{4*8})\\=(\frac{-21}{32})

4 0
3 years ago
How do you solve -x+3x
kirza4 [7]

-x + 3x

x(-1+3)

x(2)

Answer: 2x

6 0
4 years ago
Can someone help me with this pls, is super important
Alex17521 [72]
X = 50 degrees
y = 50 degrees

Explanation:

x + 130 = 180 (Angles between parallel lines)
x = 50

y = x = 50 (Corresponding angles)
7 0
3 years ago
Other questions:
  • You attend a comedy show in an auditorium. Each row of the auditorium contains 2 more seats than the row in front of it. There a
    13·1 answer
  • if i picked 24 flowers. Put each group of 10 flowers into a vase. How many would be leftover to give to the teacher?
    13·1 answer
  • Write in slope-intercept form an equation of the line that passes through the given points.
    13·1 answer
  • Complete the number pattern 189,209,249,329 809
    7·1 answer
  • What is 50 divided by -15
    12·2 answers
  • A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat
    7·1 answer
  • Can anybody help please
    12·1 answer
  • Combine the following: a+a+a+b+b+c<br> i really need help <br> help me plzzzzzzzzz
    14·1 answer
  • 13. Find the value of x.<br> 124<br> 136<br> 132<br> 158<br> 129<br> 142<br> 116<br> need ASAP!!
    8·2 answers
  • 25A2B is a 5-digit number. If the number is divisible by 5 and 9, find all the possible values of A and B. Explain also.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!