Final answer:
To solve the equation 4(0.2x-5)=12, distribute the 4, add 20 to both sides, and then divide by 0.8 to find that x = 40.
Step-by-step explanation:
To solve the equation 4(0.2x-5)=12, you need to perform several algebraic steps. Here's how you can progress:
- First, distribute the 4 into the parentheses, resulting in 0.8x - 20 = 12.
- Then, add 20 to both sides of the equation to isolate the term containing x, giving you 0.8x = 32.
- Finally, divide both sides by 0.8 to solve for x, leading to x = 40.
Therefore, the solution to the equation is x = 40.