Question

Решите уравнение (6x+8)+2=(8x-5)-6 Пожалуйста помогите с решением

Answer 1

6х+10=8х-11

-2х=-21

Х=21/2

Х=10,5

Answer 2

Solving the Equation

To solve the equation *(6x + 8) + 2 = (8x - 5) - 6*, we can follow these steps:

1. Combine Like Terms: Combine the constants and the variable terms on each side of the equation. 2. Isolate the Variable: Move the variable terms to one side and the constant terms to the other side of the equation. 3. Solve for x: Once the variable is isolated, solve for x.

Step-by-Step Solution

1. Combine Like Terms: - Left-hand side: *(6x + 8) + 2* becomes *6x + 10* - Right-hand side: *(8x - 5) - 6* becomes *8x - 11*

2. Isolate the Variable: - Move the variable terms to one side and the constant terms to the other side of the equation: *6x - 8x = -11 - 10* This simplifies to: *-2x = -21*

3. Solve for x: - Divide both sides by -2 to solve for x: *x = 21/2*

Therefore, the solution to the equation *(6x + 8) + 2 = (8x - 5) - 6* is x = 21/2.

This solution is obtained by following standard algebraic procedures. [[8 #]]