Question

Solve for d, 2d+4=10+5d2d+4=10+5d

A) d = 2
B) d = 3
C) d = 4
D) d = 5

Answer 1

To solve the equation 2d + 4 = 10 + 5d for d, subtract 5d and 4 from both sides, which gives -3d = 6. Dividing by -3, the solution is d = -2, which does not match any of the provided options.

Step-by-step explanation:

The question asks to solve for d in the equation 2d + 4 = 10 + 5d. To find the value of d, we must first collect the d terms on one side of the equation and the constants on the other. This can be done by subtracting 5d from both sides and also subtracting 4 from both sides to isolate the d term.

Here are the steps:

1. Subtract 5d from both sides:
   2d - 5d + 4 = 10 + 5d - 5d
2. This simplifies to:
   -3d + 4 = 10
3. Next, subtract 4 from both sides:
   -3d + 4 - 4 = 10 - 4
4. Which simplifies to:
   -3d = 6
5. Finally, divide both sides by -3:
   -3d / (-3) = 6 / (-3)
6. This gives us the solution:
   d = -2

However, none of the options A) d = 2, B) d = 3, C) d = 4, D) d = 5 match the solution of d = -2. It's possible that there has been a typo in the provided options or in the initial equation.