Question

2х+5=2(х+1)+11 решение

Answer 1

2x + 5 = 2(x + 11) + 11
2x + 5 = 2x + 2 + 11
5 = 2 + 11
5 = 13

Answer 2

To find the solution for the equation 2x + 5 = 2(x + 1) + 11, follow these steps:

Step 1: Distribute the 2 on the right side of the equation.

2(x + 1) + 11 = 2x + 2 + 11

Step 2: Simplify the right side.

2(x + 1) + 11 = 2x + 13

Step 3: Now, our equation becomes:

2x + 5 = 2x + 13

Step 4: To solve for x, isolate x on one side. We can do this by subtracting 2x from both sides of the equation:

2x - 2x + 5 = 2x - 2x + 13

Step 5: Simplify the left side.

5 = 13

Step 6: This step reveals that the equation is inconsistent. Since we ended up with a false statement (5 = 13), there is no solution to this equation. The two sides of the equation will never be equal, so there is no value of x that satisfies the original equation.

Therefore, the equation 2x + 5 = 2(x + 1) + 11 has no solution.