\(x=0\)
Let's see why:
\(5x+3x=4x\)
This is the original equation. First, let's simplify the left side and combine like terms:
\(5x+3x=4x\)
\(8x=4x\)
Subtract \(4x\) from both sides.
\(8x-4x=0\)
\(4x=0\)
\(x=0\)
You can also check that this answer is correct by substituting this value for x in the original equation and see if the equation becomes true:
\(5*0+3*0=4*0\)
\(0+0=0\)
Therefore, x=0 is the correct and only solution.