Question

1,5(2x+5)+x=3(0,5x-7)+3,5

Answer 1

1.5(2x+5)+x=3(0.5x-7)+3.5
3x+7.5+x=1.5x-21+3.5
4x-1.5x=-21+3.5-7.5
2.5x=-25
x=-25/2.5
x=-10

Answer 2

3x+7,5+x=1,5x-21+3,5;
4x+7,5=1,5x-21+3,5;
4x-1,5x=-7,5-21+3,5;
2,5x=-25;
x=25:2,5;
x=10.
Ответ:x=10.

Answer 3

To solve the equation 1,5(2x+5)+x=3(0,5x-7)+3,5, let's simplify and solve step by step:

1. Distribute the coefficients inside the parentheses: 1,5 * 2x + 1,5 * 5 + x = 3 * 0,5x - 3 * 7 + 3,5

   Simplify the expressions: 3x + 7,5 + x = 1,5x - 21 + 3,5

2. Combine like terms on both sides of the equation: 4x + 7,5 = 1,5x - 17,5

3. To isolate the variable terms on one side, subtract 1,5x from both sides: 4x - 1,5x + 7,5 = 1,5x - 1,5x - 17,5

   Simplify the expressions: 2,5x + 7,5 = -17,5

4. Next, subtract 7,5 from both sides of the equation: 2,5x + 7,5 - 7,5 = -17,5 - 7,5

   Simplify the expressions: 2,5x = -25

5. To solve for x, divide both sides of the equation by 2,5: (2,5x) / 2,5 = -25 / 2,5

   Simplify the expressions: x = -10

Therefore, the solution to the equation is x = -10.