Question

Solve for x: 3 over 4 x + 5 over 8 = 4x

x =
Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar.
Option 1: -4/15
Option 2: 5/16
Option 3: 8/21
Option 4: -3/14

Answer 1

To solve for x in the equation 3/4x + 5/8 = 4x, multiply the equation by the least common multiple (LCM) of the denominators, combine like terms, and isolate x. The solution is x = 5/26.

Step-by-step explanation:

To solve for x in the equation 3/4x + 5/8 = 4x, we need to get rid of the fractions.

Multiply the entire equation by the least common multiple (LCM) of the denominators, which is 8.

So, (8)(3/4x) + (8)(5/8) = (8)(4x)

This simplifies to 6x + 5 = 32x

Next, subtract 6x from both sides: 5 = 32x - 6x

Combine like terms: 5 = 26x

To isolate x, divide both sides by 26: x = 5/26