It seems like the question is asking us to solve an equation that involves [tex]\( \frac{46}{4x+8} \)[/tex]. 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 [tex]\( x \)[/tex]. Let's assume the equation is:
[tex]\[ \frac{46}{4x+8} = k \][/tex]
where [tex]\( k \)[/tex] is some constant.
Let's solve for [tex]\( x \)[/tex] step by step:
1. Multiply both sides by [tex]\( 4x + 8 \)[/tex] to isolate the numerator:
[tex]\[ 46 = k(4x + 8) \][/tex]
2. Distribute [tex]\( k \)[/tex] on the right side:
[tex]\[ 46 = 4kx + 8k \][/tex]
3. Isolate the term with [tex]\( x \)[/tex] on one side:
[tex]\[ 46 - 8k = 4kx \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by [tex]\( 4k \)[/tex]:
[tex]\[ x = \frac{46 - 8k}{4k} \][/tex]
So the solution to the equation [tex]\( \frac{46}{4x+8} = k \)[/tex] for [tex]\( x \)[/tex] is:
[tex]\[ x = \frac{46 - 8k}{4k} \][/tex]
Without providing a specific value for [tex]\( k \)[/tex], this is the general solution for [tex]\( x \)[/tex].
