Question

1.5(2x-5)+2x=5(0.5x-1.5)-10

Answer 1

3х-7,5+2х=2,5х-7,5-10
2,5х=-10
х=-4

Answer 2

To solve the equation 1.5(2x-5) + 2x = 5(0.5x-1.5) - 10, we can follow a step-by-step process:

Step 1: Distribute the values on both sides of the equation. 1.5(2x-5) + 2x = 5(0.5x-1.5) - 10 3x - 7.5 + 2x = 2.5x - 7.5 - 10

Step 2: Combine like terms on both sides of the equation. 3x + 2x - 7.5 = 2.5x - 17.5

Simplifying the equation, we have: 5x - 7.5 = 2.5x - 17.5

Step 3: Move all the terms containing x to one side of the equation. To do this, we can subtract 2.5x from both sides of the equation. 5x - 2.5x - 7.5 = 2.5x - 2.5x - 17.5

Simplifying, 2.5x - 7.5 = -17.5

Step 4: Move the constant term to the other side of the equation. To do this, we can add 7.5 to both sides of the equation. 2.5x - 7.5 + 7.5 = -17.5 + 7.5

Simplifying, 2.5x = -10

Step 5: Solve for x by dividing both sides of the equation by 2.5. 2.5x / 2.5 = -10 / 2.5

Simplifying, x = -4

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