Question

0,5(x-3)=0,3(2-x)-5,3

Answer 1

Ответ: 0,5(x-3) = 0,3(2-x)-5,3

1. 0,5x-1,5=0,6-0,3x-5,3

2. 0,5x+0,3x=0,6-5,3+1,5

3. 0,8x=-3,2

4. x=-3,2/0,8=-4

Ответ: x=-4

Answer 2

To solve the equation 0.5(x - 3) = 0.3(2 - x) - 5.3, you'll want to simplify and isolate the variable x. Here's the step-by-step solution:

1. Distribute the constants on the right side of the equation to both terms inside the parentheses:

   0.5(x - 3) = 0.3(2 - x) - 5.3 0.5x - 1.5 = 0.6 - 0.3x - 5.3

2. Combine like terms on both sides of the equation. Start by adding 0.3x to both sides to group the x terms on one side and the constants on the other side:

   0.5x + 0.3x - 1.5 = 0.6 - 5.3

3. Combine the x terms on the left side:

   0.8x - 1.5 = -4.7

4. Now, add 1.5 to both sides to isolate the term with x:

   0.8x = -4.7 + 1.5 0.8x = -3.2

5. Finally, divide both sides by 0.8 to solve for x:

   x = (-3.2) / 0.8 x = -4

So, the solution to the equation is x = -4.