Solve the equation for x. 1/4 x = -3/8 x + 5 x =

To solve the equation ( frac{1}{4} x = -frac{3}{8} x + 5 ), follow these steps:

1. First, let’s eliminate the fractions by finding a common denominator. The common denominator between 4 and 8 is 8. So, we can rewrite the equation as:

[ frac{2}{8} x = -frac{3}{8} x + 5 ]

2. Now, let’s add (frac{3}{8} x) to both sides to get all the (x) terms on one side:

[ frac{2}{8} x + frac{3}{8} x = 5 ]

3. Combine the (x) terms:

[ frac{5}{8} x = 5 ]

4. Now, isolate (x) by multiplying both sides by the reciprocal of (frac{5}{8}), which is (frac{8}{5}):

[ x = 5 times frac{8}{5} ]

5. Simplifying this gives:

[ x = 8 ]

Therefore, the solution is ( x = 8 ). If you need more detailed steps or further assistance, feel free to check the extended services page!