3 years ago

-2(x - 8) + 4x = -12

Mathematics

1 answer:

Deffense [45]3 years ago

7 0

Answer:

x = 14

Step-by-step explanation:

Solve for x:

4 x - 2 (x - 8) = -12

-2 (x - 8) = 16 - 2 x:

4 x + 16 - 2 x = -12

4 x - 2 x = 2 x:

2 x + 16 = -12

Subtract 16 from both sides:

2 x + (16 - 16) = -16 - 12

16 - 16 = 0:

2 x = -16 - 12

-16 - 12 = -28:

2 x = -28

Divide both sides of 2 x = -28 by 2:

(2 x)/2 = (-28)/2

2/2 = 1:

x = (-28)/2

The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:

Answer: x = -14

You might be interested in

A student sketched some art on an 8 inch x 10 inch piece of paper. She wants to resize it to fit an 4 inch x 6 inch frame (as sh

Mariana [72]

Answer:

85.6%

Step-by-step explanation:

because

5 0

4 years ago

At a local preschool there is a ratio of 3 boys to every 4 girls if there are 245 total preschoolers enrolled how many boys

JulsSmile [24]

Answer:

The total number of boys = 105

Step-by-step explanation:

The ratio of boys to girls = 3: 4

⇒ For every 3 boys, there are 4 girls.

Now, total number of students = 245

Let the common ratio of boys to girls is k.

So, 3k + 4k = 245

or , 7k = 245

⇒ k = 245/7 = 35

⇒ k = 35

Hence, the number of boys = 3k = 3 x 35 = 105

and number of girls = 4k = 4 x 35 = 140

8 0

3 years ago

Last year, McBarkie's Burgers contained 200 grams of fat in each burger. This year, the amount of fat has been reduced to 120 gr

yarga [219]

It is a 60% decrease. If you multiply 200 by 60% or .60, you get 120 g

8 0

4 years ago

Give the coordinates of the point located halfway between (2,1) and (2,4).

nordsb [41]

((X1+x2)/2,(y1+y2)/2) ---> ((2+2)/2,(1+4)/2) ---> (2,2.5)

8 0

3 years ago

What is the value of x in the equation x -3/4 = 5 1/6

Mandarinka [93]

Step-by-step explanation:

x-3/4=5 1/6

(4x-3)/4=31/6

(4x-3)/2=31/3

12x-9=62

12x=71

X=71/12

6 0

3 years ago