.25(x+.4)=.1x-1.6

Solution for .25(x+.4)=.1x-1.6 equation:

Simplifying
0.25(x + 0.4) = 0.1x + -1.6

Reorder the terms:
0.25(0.4 + x) = 0.1x + -1.6
(0.4 * 0.25 + x * 0.25) = 0.1x + -1.6
(0.1 + 0.25x) = 0.1x + -1.6

Reorder the terms:
0.1 + 0.25x = -1.6 + 0.1x

Solving
0.1 + 0.25x = -1.6 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
0.1 + 0.25x + -0.1x = -1.6 + 0.1x + -0.1x

Combine like terms: 0.25x + -0.1x = 0.15x
0.1 + 0.15x = -1.6 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
0.1 + 0.15x = -1.6 + 0.0
0.1 + 0.15x = -1.6

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.15x = -1.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.15x = -1.6 + -0.1
0.15x = -1.6 + -0.1

Combine like terms: -1.6 + -0.1 = -1.7
0.15x = -1.7

Divide each side by '0.15'.
x = -11.33333333

Simplifying
x = -11.33333333