Question

3x+2. X-4 ____ - ____ =2 12. 8

Answer 1

Умножим обе части равенства на 24,получим:

2(3x+2)-3(x-4)=48

Раскрываем и приводим подобные:

6x+4-3x+12=48

3x+16=48

Далее 16 переносим в правую часть,получаем:

3x=48-16

3x=32

x=32/3

Ответ:x=32/3 или в виде десятичной дроби:x=10.6

Answer 2

Приведём все к общему знаменателю
8(3х+2)-12(х-4)=2*12*8
24х+16-12х+48=192
24х-12х=192-16-48
12х=128
х=128/12=10.66... или 10.(6) можно округлить до десятых 10,6 или до целых 11

Answer 3

It seems like you want to solve the equation:

(3x + 2) * (x - 4) - (12 * 8) = 2

First, let's simplify the equation step by step:

1. Expand the left side of the equation:

(3x + 2) * (x - 4) = 3x(x) + 3x(-4) + 2(x) + 2(-4) = 3x^2 - 12x + 2x - 8

Simplify further:

= 3x^2 - 10x - 8

2. Now, we can rewrite the equation with the expanded left side:

3x^2 - 10x - 8 - (12 * 8) = 2

3. Combine like terms:

3x^2 - 10x - 8 - 96 = 2

4. Subtract 2 from both sides to isolate the quadratic term on the left:

3x^2 - 10x - 8 - 96 - 2 = 0

5. Combine constants on the left:

3x^2 - 10x - 106 = 0

Now you have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 3, b = -10, and c = -106. To solve this quadratic equation, you can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

x = (-(-10) ± √((-10)^2 - 4 * 3 * (-106))) / (2 * 3)

Simplify further:

x = (10 ± √(100 + 1272)) / 6 x = (10 ± √1372) / 6

Now, you can simplify the square root:

x = (10 ± √(4 * 343)) / 6 x = (10 ± 2√343) / 6

x = (10 ± 2 * 19) / 6 x = (10 ± 38) / 6

Now, you have two possible solutions:

1. x = (10 + 38) / 6 x = 48 / 6 x = 8

2. x = (10 - 38) / 6 x = -28 / 6 x = -14/3

So, the solutions to the equation are x = 8 and x = -14/3.