Question

5) 2(x - 4) = 4x + 5)​

Answer 1

Ответ:

$2(x - 4) = 4(x + 5)\\2x-8=4x+20\\2x-4x=20+8\\-2x=28\\x=28:(-2)\\x=-14$

Answer 2

Ответ:

x=$-\frac{13}{2}$

Пошаговое объяснение:

Раскройте скобки

2(x - 4) = 4x + 5

2x-8 = 4x +  5

Прибавьте  8 к обеим частям уравнения

2x - 8 = 4x + 5

2x - 8 + 8  = 4x + 5 + 8

Упростите

2x = 4x + 13

Вычтите 4x из обеих частей уравнения

2x = 4x + 13

2x - 4x = 4x + 13 -4x

Упростите

-2x = 13

Разделите обе части уравнения на один и тот же член

-2x = 13

$\frac{-2x}{-2}$=$\frac{13}{-2}$

Упростите

x=$-\frac{13}{2}$

ответ = x=$-\frac{13}{2}$

Answer 3

To solve the equation 2(x - 4) = 4x + 5, you'll need to isolate the variable x. Here are the steps to do that:

1. Distribute the 2 on the left side of the equation:

   2x - 8 = 4x + 5

2. Now, you want to get all the terms involving x on one side of the equation and the constants on the other side. Let's move the 4x term to the left side by subtracting 4x from both sides:

   2x - 4x - 8 = 5

3. Combine the like terms on the left side of the equation:

   -2x - 8 = 5

4. Next, add 8 to both sides of the equation to isolate the term with -2x:

   -2x = 5 + 8 -2x = 13

5. Finally, divide both sides by -2 to solve for x:

   x = 13 / (-2) x = -6.5

So, the solution to the equation 2(x - 4) = 4x + 5 is x = -6.5.