Question

8-1,5(3х+2)=2/3(3-6х)

Answer 1

8-4,5x-3=2-4x
-4,5x+4x= -8+3+2
-0,5x= -3
x= -3:(-0,5)
x=6

Answer 2

To solve the equation 8 - 1.5(3x + 2) = 2/3(3 - 6x), you can follow these steps:

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

8 - 1.5 * 3x - 1.5 * 2 = 2/3 * 3 - 2/3 * 6x

Now, simplify each side of the equation:

2. Simplify the left side:

8 - 4.5x - 3 = 2 - 4x

3. Move like terms to opposite sides of the equation to isolate the variable x. Add 4.5x to both sides and subtract 2 from both sides:

8 - 3 - 2 = 4.5x - 4x

3 - 3 - 2 = 0.5x

1 - 2 = 0.5x

-1 = 0.5x

4. Finally, solve for x by dividing both sides by 0.5:

-1 / 0.5 = x

x = -2

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