how many solutions does 4 (2 - 3x) = x - 2 (2x + 1) have

Answer 1

Let's solve the equation step by step:

4(2 - 3x) = x - 2(2x + 1)

First, distribute the 4 on the left side and the -2 on the right side:

8 - 12x = x - 4x - 2

Combine like terms on both sides:

8 - 12x = -3x - 2

Next, move all the terms involving x to one side:

-12x + 3x = -2 - 8

Simplify:

-9x = -10

Now, divide both sides by -9 to solve for x:

x = (-10) / (-9)

Simplifying further:

x = 10/9

Therefore, the equation has only one solution: x = 10/9.