Question

5(х − 3) + 2 = 3(х − 4) + 2х − 1

Answer 1

Ответ:

$x\in R$

Пошаговое объяснение:

$5(x-3)+2=3(x-4)+2x-1\\5\cdot x-5\cdot(-3) +2=3\cdot x+3\cdot(-4)+2x-1\\5x-15+2=3x-12+2x-1\\5x-3x-2x=-12-1+15-2\\5x-5x=15-15\\0=0\\x\in R$

Answer 2

To solve the equation 5(x - 3) + 2 = 3(x - 4) + 2x - 1 for x, follow these steps:

1. First, distribute the numbers outside the parentheses to the terms inside the parentheses:

   5(x - 3) + 2 = 3(x - 4) + 2x - 1 5x - 15 + 2 = 3x - 12 + 2x - 1

2. Next, simplify the equation by combining like terms on both sides:

   5x - 15 + 2 = 3x - 12 + 2x - 1

   On the left side, combine 5x and 2: 5x + 2 - 15 = 3x - 12 + 2x - 1

   On the right side, combine 3x and 2x: 5x + 2 - 15 = 5x - 12 - 1

3. Continue simplifying:

   5x - 13 = 5x - 13

4. Now, notice that the variables are the same on both sides of the equation, and the constants are also the same. This means the equation is an identity, and there are infinitely many solutions. In other words, any value of x will satisfy this equation.

   So, the solution is x can be any real number.