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

The question is based on simplifying an algebraic expression.

Answer: x = 5/26 in the equation 3 over 4, x + 5 over 8 = 4x.

Let's solve the given equation by interpreting the given information mathematically.

Explanation:

Given that, 3 over 4, x + 5 over 8 = 4x

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

4x - (3/4)x = 5/8    --------> shifting all the terms involving x to one side of the equation

[ 4 - (3/4) ]x = 5/8

[ (16-3)/4 ]x = 5/8

[13/4]x = 5/8

x = 5/8 × [4/13]

x = [ 5 × 4 ] / [ 8 × 13]

x = 5/26

Thus, x = 5/26 is the solution of 3 over 4, x + 5 over 8 = 4x.