Final answer:
To solve the equation 2/3(-3.1-x) = 5 for x, we distribute the 2/3 to -3.1 and x, isolate (2/3)x, and solve for x to get x = 10.605.
Step-by-step explanation:
To solve the equation 2/3(-3.1-x) = 5 for x, we can start by distributing the 2/3 to -3.1 and x: (2/3)(-3.1) + (2/3)(-x) = 5. This simplifies to -2.07 - (2/3)x = 5.
Next, we can isolate (2/3)x by subtracting -2.07 from both sides: (2/3)x = 5 + 2.07.
This further simplifies to (2/3)x = 7.07.
Finally, we can solve for x by multiplying both sides by 3/2: (3/2)(2/3)x = (3/2)(7.07), which gives x = 10.605.