Question

What us the solution to the equation 1/4 x -1/8= 7/8 +1/2x?

Answer 1

To find the solution to the equation 1/4 x - 1/8 = 7/8 + 1/2 x, subtract 1/2 x from both sides, find a common denominator to subtract fractions, and then divide by -1/4 to solve for x, which gives us x = -4.

Step-by-step explanation:

The solution to the equation 1/4 x - 1/8 = 7/8 + 1/2 x can be found by following these steps:

1. First, we need to combine like terms. To do this, we subtract 1/2 x from both sides of the equation.
2. Now the equation looks like this: 1/4 x - 1/2 x = 7/8 + 1/8.
3. To subtract the fractions 1/4 x and 1/2 x, we need a common denominator, which is 4. So, 1/4 x - 2/4 x = -1/4 x.
4. Add 1/8 to both sides to isolate the term with x, resulting in -1/4 x = 1.
5. Finally, divide by -1/4 to solve for x, giving us x = -4.

Therefore, the solution to the equation is x = -4.