Question

2x - 0.2 (4 - x) = 2.8. Solve for x.

Answer 1

The solution to the equation 2x - 0.2 (4 - x) = 2.8 is x ≈ 1.64 when rounded to two decimal places.

Step-by-step explanation:

To solve the equation 2x - 0.2(4 - x) = 2.8 for x, begin by expanding the brackets to get 2x - 0.8 + 0.2x = 2.8. Combining like terms yields 2.2x - 0.8 = 2.8. Adding 0.8 to both sides results in 2.2x = 3.6. Finally, dividing both sides by 2.2 gives x = 3.6 / 2.2, which simplifies to x ≈ 1.63636. Therefore, the solution to the equation is approximately x = 1.64 when rounded to two decimal places. This mathematical process involves expanding, simplifying, and isolating the variable to find the numerical solution for x.

Answer 2

`0.2=(2)/(10) \\\\ 2.8=2(8)/(10)=(28)/(10) \\\\ 2x^((10)-(2)/(10)(4-x)=(28)/(10) \\\\ 20x-2(4-x)=28 \\\\ 20x-8+x=28 \\\\ 21x=28+8 \\\\ 21x=36 \\\\ \boxed{x=(36)/(21)=(12)/(7)}`