0.4(-4.6-0.5x)+0.8(1.9+x)=

Solution for 0.4(-4.6-0.5x)+0.8(1.9+x)= equation:

Simplifying
0.4(-4.6 + -0.5x) + 0.8(1.9 + x) = 0
(-4.6 * 0.4 + -0.5x * 0.4) + 0.8(1.9 + x) = 0
(-1.84 + -0.2x) + 0.8(1.9 + x) = 0
-1.84 + -0.2x + (1.9 * 0.8 + x * 0.8) = 0
-1.84 + -0.2x + (1.52 + 0.8x) = 0

Reorder the terms:
-1.84 + 1.52 + -0.2x + 0.8x = 0

Combine like terms: -1.84 + 1.52 = -0.32
-0.32 + -0.2x + 0.8x = 0

Combine like terms: -0.2x + 0.8x = 0.6x
-0.32 + 0.6x = 0

Solving
-0.32 + 0.6x = 0

Solving for variable 'x'.

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

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.6x = 0 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.6x = 0 + 0.32
0.6x = 0 + 0.32

Combine like terms: 0 + 0.32 = 0.32
0.6x = 0.32

Divide each side by '0.6'.
x = 0.5333333333

Simplifying
x = 0.5333333333