Final answer:
To solve the equation 2w + 5 = 0.2w - 0.8, isolate the variable w by getting rid of decimals and combining like terms. The solution is w ≈ -3.22222.
Step-by-step explanation:
To solve the equation 2w + 5 = 0.2w - 0.8, we need to isolate the variable w on one side of the equation. We can do this by getting rid of the decimals first. By multiplying the entire equation by 10, we eliminate the decimals. So the equation becomes 20w + 50 = 2w - 8.
Next, we can combine like terms by subtracting 2w from both sides: 20w - 2w + 50 = - 8. Simplifying this further, we get 18w + 50 = - 8. We can then subtract 50 from both sides to isolate w: 18w + 50 - 50 = - 8 - 50. This simplifies to 18w = - 58. Finally, we divide both sides of the equation by 18 to solve for w: w = - 58 / 18. Dividing - 58 by 18 gives us a decimal answer of approximately - 3.22222. Therefore, the correct solution is w ≈ - 3.22222.
To solve the equation for w: 2w + 5 = 0.2w − 0.8, first simplify the equation by moving all terms involving w to one side and constant terms to the other side.
Subtract 0.2w from both sides to get 2w - 0.2w on the left side, which simplifies to 1.8w. Then, subtract 5 from both sides to isolate the w term, resulting in 1.8w = -5.8. Finally, divide both sides by 1.8 to find the value of w, which is w = -5.8 / 1.8. After calculating, we get the solution w = -3.22, which is not one of the options provided.