Question

1.5(2x-3)-4(x-5)=6x+5

Answer 1

Ответ:

3х-4,5-4х+20=6х+5

3х-4х-6х=5+4,5-20

-7х=-10,5

х=-10,5:-7

х=1,5

Answer 2

To solve the equation 1.5(2x - 3) - 4(x - 5) = 6x + 5, follow these steps:

Step 1: Distribute the constants on the left side of the equation:

1.5 * 2x - 1.5 * 3 - 4 * x + 4 * 5 = 6x + 5

This simplifies to:

3x - 4.5 - 4x + 20 = 6x + 5

Step 2: Combine like terms on both sides of the equation:

(3x - 4x) + (-4.5 + 20) = 6x + 5

This further simplifies to:

-x + 15.5 = 6x + 5

Step 3: Move the variable terms to one side of the equation and the constant terms to the other side. To do this, add x to both sides:

-x + x + 15.5 = 6x + x + 5

This simplifies to:

15.5 = 7x + 5

Step 4: Now, isolate the variable term by subtracting 5 from both sides:

15.5 - 5 = 7x

10.5 = 7x

Step 5: Finally, solve for x by dividing both sides by 7:

x = 10.5 / 7

x = 1.5

So, the solution to the equation is x = 1.5.

Answer 3

To solve the equation 1.5(2x-3) - 4(x-5) = 6x + 5, you can follow these steps:

1. Distribute the numbers outside the parentheses to the terms inside the parentheses:

   3x - 4x + 6 - 20 = 6x + 5

2. Combine like terms on both sides of the equation.

   (3x - 4x) + (6 - 20) = 6x + 5

   -x - 14 = 6x + 5

3. Move the variable terms (those with x) to one side of the equation and the constant terms to the other side. You can do this by adding x to both sides and subtracting 5 from both sides:

   -x - 6x - 14 - 5 = 6x + 5 - 5

   -7x - 19 = 6x

4. Now, isolate the variable x. You can do this by adding 7x to both sides:

   -7x + 7x - 19 = 6x + 7x

   -19 = 13x

5. Finally, divide both sides by 13 to solve for x:

   -19 / 13 = 13x / 13

   x = -19 / 13

So, the solution to the equation is:

x = -19/13