We want to solve an equation, so we only need to use simple algebra.
The solution is: x = 3
The original equation is:
0.2*(15*x - 20) = 0.5*(16 - 2*x)
To solve this, we need to move all the terms with "x" to the same side, so first we need to expand.
0.2*15*x - 0.2*20 = 0.5*16 - 0.5*2*x
We can move all the terms with x to the left side, and the others to the right side:
0.2*15*x + 0.5*2*x = 0.5*16 + 0.2*20
3*x + 1*x = 12
4*x = 12
Now we can divide both sides by 4:
x = 12/4 = 3
x = 3
If you want to learn more, you can read:
https://brainly.com/question/24531705