0.24x+0.33x+4.6=x

Solution for 0.24x+0.33x+4.6=x equation:

Simplifying
0.24x + 0.33x + 4.6 = x

Reorder the terms:
4.6 + 0.24x + 0.33x = x

Combine like terms: 0.24x + 0.33x = 0.57x
4.6 + 0.57x = x

Solving
4.6 + 0.57x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
4.6 + 0.57x + -1x = x + -1x

Combine like terms: 0.57x + -1x = -0.43x
4.6 + -0.43x = x + -1x

Combine like terms: x + -1x = 0
4.6 + -0.43x = 0

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -0.43x = 0 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -0.43x = 0 + -4.6
-0.43x = 0 + -4.6

Combine like terms: 0 + -4.6 = -4.6
-0.43x = -4.6

Divide each side by '-0.43'.
x = 10.69767442

Simplifying
x = 10.69767442