.2+13+x=-.1(x+40)+4

Solution for .2+13+x=-.1(x+40)+4 equation:

Simplifying
0.2 + 13 + x = -0.1(x + 40) + 4

Combine like terms: 0.2 + 13 = 13.2
13.2 + x = -0.1(x + 40) + 4

Reorder the terms:
13.2 + x = -0.1(40 + x) + 4
13.2 + x = (40 * -0.1 + x * -0.1) + 4
13.2 + x = (-4 + -0.1x) + 4

Reorder the terms:
13.2 + x = -4 + 4 + -0.1x

Combine like terms: -4 + 4 = 0
13.2 + x = 0 + -0.1x
13.2 + x = -0.1x

Solving
13.2 + x = -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.
13.2 + x + 0.1x = -0.1x + 0.1x

Combine like terms: x + 0.1x = 1.1x
13.2 + 1.1x = -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
13.2 + 1.1x = 0.0

Add '-13.2' to each side of the equation.
13.2 + -13.2 + 1.1x = 0.0 + -13.2

Combine like terms: 13.2 + -13.2 = 0.0
0.0 + 1.1x = 0.0 + -13.2
1.1x = 0.0 + -13.2

Combine like terms: 0.0 + -13.2 = -13.2
1.1x = -13.2

Divide each side by '1.1'.
x = -12

Simplifying
x = -12