Question

-6 (2х+1)=12х+2 (х+36)

Answer 1

Ответ:

$x = - 3$

Пошаговое объяснение:

$- 6(2x + 1) = 12x + 2(x + 36) \\ - 12x - 6 = 12x + 2x + 72 \\ - 26x = 78 \\ x = - 3$

Answer 2

To solve the equation -6(2x+1) = 12x+2(x+36), you need to simplify and isolate the variable x. Here's the step-by-step solution:

-6(2x+1) = 12x+2(x+36)

First, distribute the -6 on the left side of the equation:

-12x - 6 = 12x + 2(x+36)

Next, distribute the 2 on the right side of the equation:

-12x - 6 = 12x + 2x + 72

Now, combine like terms on the right side:

-12x - 6 = 14x + 72

To isolate the variable x on one side of the equation, you can start by moving 12x to the left side by adding 12x to both sides of the equation:

-12x + 12x - 6 = 14x + 12x + 72

Simplifying:

-6 = 26x + 72

Now, subtract 72 from both sides to isolate 26x:

-6 - 72 = 26x + 72 - 72

-78 = 26x

Finally, divide by 26 to solve for x:

x = -78 / 26 x = -3

So, the solution to the equation is x = -3.

Answer 3

To solve the equation -6(2x + 1) = 12x + 2(x + 36), you can follow these steps:

1. Distribute the constants and variables on both sides of the equation: -12x - 6 = 12x + 2x + 72

2. Combine like terms on both sides: -12x - 6 = 14x + 72

3. Move all the variables to one side of the equation and the constants to the other side: -12x - 14x = 72 + 6

4. Combine the x terms and constants: -26x = 78

5. Now, divide both sides by -26 to solve for x: x = 78 / -26

6. Simplify the fraction: x = -3

So, the solution to the equation is x = -3.