Question

2(3x - 8) = -13 + 3(4x - 9)

Answer 1

Решение:

2(3x - 8) = -13 + 3(4x - 9)

6x - 16 = -13 + 12x - 27

6x - 12x = -13 - 27 + 16

-6x = -24

x = -24 : (-6)

x = 4

Answer 2

To solve the equation, let's start by simplifying both sides of the equation step by step:

1. Distribute the terms inside the parentheses: 2(3x - 8) = 6x - 16 3(4x - 9) = 12x - 27

Now the equation becomes:

6x - 16 = -13 + 12x - 27

2. Combine like terms on the right-hand side: 6x - 16 = -13 + 12x - 27 6x - 16 = 12x - 40

3. Move the variable terms to one side and the constant terms to the other side to isolate the variable: Subtract 6x from both sides:

6x - 6x - 16 = 12x - 6x - 40 0 - 16 = 6x - 40

4. Simplify the equation further:

-16 = 6x - 40

5. Now, isolate the variable term by adding 40 to both sides:

-16 + 40 = 6x - 40 + 40 24 = 6x

6. Finally, solve for x by dividing both sides by 6:

x = 24 / 6 x = 4

So, the value of x that satisfies the equation is x = 4.