.4x+.25(136-x)=42.16

Solution for .4x+.25(136-x)=42.16 equation:

Simplifying
0.4x + 0.25(136 + -1x) = 42.16
0.4x + (136 * 0.25 + -1x * 0.25) = 42.16
0.4x + (34 + -0.25x) = 42.16

Reorder the terms:
34 + 0.4x + -0.25x = 42.16

Combine like terms: 0.4x + -0.25x = 0.15x
34 + 0.15x = 42.16

Solving
34 + 0.15x = 42.16

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 0.15x = 42.16 + -34

Combine like terms: 34 + -34 = 0
0 + 0.15x = 42.16 + -34
0.15x = 42.16 + -34

Combine like terms: 42.16 + -34 = 8.16
0.15x = 8.16

Divide each side by '0.15'.
x = 54.4

Simplifying
x = 54.4