Question

3( x-2)+5=2 (x-7)+11

Answer 1

раскрываем скобки

3х-6+5=2х-14+11

3х-2х=6-5-14+11

х=-2

Answer 2

To solve the equation, we need to find the value of 'x' that satisfies the equation. Let's proceed step by step:

1. Distribute the terms on both sides of the equation: 3(x - 2) + 5 = 2(x - 7) + 11

   Distribute on the left side: 3x - 6 + 5 = 2(x - 7) + 11

   Distribute on the right side: 3x - 1 = 2x - 14 + 11

2. Combine like terms: 3x - 1 = 2x - 3

3. Now, isolate 'x' on one side of the equation. To do this, we'll move the '2x' term to the left side by subtracting '2x' from both sides of the equation: 3x - 2x - 1 = 2x - 2x - 3

   Simplify: x - 1 = -3

4. Finally, isolate 'x' by adding 1 to both sides of the equation: x - 1 + 1 = -3 + 1

   Simplify: x = -2

So, the solution to the equation is x = -2.