Question

решите пожалуйста уравнение в) 2(3x+4) -3(x-4) =2(x+3) и -7(x+2) +4(2x-5) =3(2x+7) вот эти пж СРОЧНО ПЖ. заранее спасибо ​

Answer 1

Ответ:

Смотри решение на фото....

Answer 2

Solving the equation 2(3x+4) - 3(x-4) = 2(x+3) - 7(x+2) + 4(2x-5) = 3(2x+7)

To solve the equation, let's simplify each expression step by step.

# Simplifying the first expression: 2(3x+4) - 3(x-4)

First, distribute the 2 and the -3 to the terms inside the parentheses:

2(3x+4) - 3(x-4) = 6x + 8 - 3x + 12

Combine like terms:

6x + 8 - 3x + 12 = 3x + 20

# Simplifying the second expression: 2(x+3) - 7(x+2) + 4(2x-5)

Again, distribute the coefficients to the terms inside the parentheses:

2(x+3) - 7(x+2) + 4(2x-5) = 2x + 6 - 7x - 14 + 8x - 20

Combine like terms:

2x + 6 - 7x - 14 + 8x - 20 = 3x - 28

# Simplifying the third expression: 3(2x+7)

Distribute the 3 to the terms inside the parentheses:

3(2x+7) = 6x + 21

# Combining the simplified expressions:

Now, we have the equation:

3x + 20 = 3x - 28 = 6x + 21

To solve this equation, we need to find the value of x that satisfies all three expressions.

Since the equation contains three equal expressions, we can conclude that any value of x will satisfy the equation. This means that the equation has infinitely many solutions.

Therefore, the solution to the equation 2(3x+4) - 3(x-4) = 2(x+3) - 7(x+2) + 4(2x-5) = 3(2x+7) is x can be any real number.

Please let me know if there's anything else I can help you with!