x+2x+4x+5x=360

To solve the equation \( x + 2x + 4x + 5x = 360 \), first combine like terms on the left side:

\[ (1 + 2 + 4 + 5)x = 360 \]

Calculating the coefficients:

\[ 1 + 2 + 4 + 5 = 12 \]

So, the equation simplifies to:

\[ 12x = 360 \]

Next, divide both sides by 12 to solve for \( x \):

\[ x = \frac{360}{12} \]

Calculating the division:

\[ x = 30 \]

Therefore, the solution is:

\[ \boxed{30} \]