It seems like the question is asking us to solve an equation that involves \(\( \frac{46}{4x+8} \)\). However, this equation appears to be incomplete because it lacks an equals sign and a value on the other side of the equation, which we usually need to solve for \(\( x \)\). Let's assume the equation is:
\(\[ \frac{46}{4x+8} = k \]\)
where \(\( k \)\) is some constant.
Let's solve for \(\( x \)\) step by step:
1. Multiply both sides by \(\( 4x + 8 \)\) to isolate the numerator:
\(\[ 46 = k(4x + 8) \]\)
2. Distribute \(\( k \)\) on the right side:
\(\[ 46 = 4kx + 8k \]\)
3. Isolate the term with \(\( x \)\) on one side:
\(\[ 46 - 8k = 4kx \]\)
4. Solve for \(\( x \)\) by dividing both sides by \(\( 4k \)\):
\(\[ x = \frac{46 - 8k}{4k} \]\)
So the solution to the equation \(\( \frac{46}{4x+8} = k \)\) for \(\( x \)\) is:
\(\[ x = \frac{46 - 8k}{4k} \]\)
Without providing a specific value for \(\( k \)\), this is the general solution for \(\( x \)\).
