.1(x+36)=-2(2-x)

Solution for .1(x+36)=-2(2-x) equation:

Simplifying
0.1(x + 36) = -2(2 + -1x)

Reorder the terms:
0.1(36 + x) = -2(2 + -1x)
(36 * 0.1 + x * 0.1) = -2(2 + -1x)
(3.6 + 0.1x) = -2(2 + -1x)
3.6 + 0.1x = (2 * -2 + -1x * -2)
3.6 + 0.1x = (-4 + 2x)

Solving
3.6 + 0.1x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3.6 + 0.1x + -2x = -4 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
3.6 + -1.9x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
3.6 + -1.9x = -4 + 0
3.6 + -1.9x = -4

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -1.9x = -4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -1.9x = -4 + -3.6
-1.9x = -4 + -3.6

Combine like terms: -4 + -3.6 = -7.6
-1.9x = -7.6

Divide each side by '-1.9'.
x = 4

Simplifying
x = 4