-.1(x-27)+.3(x+3)=x+11

Solution for -.1(x-27)+.3(x+3)=x+11 equation:

Simplifying
-0.1(x + -27) + 0.3(x + 3) = x + 11

Reorder the terms:
-0.1(-27 + x) + 0.3(x + 3) = x + 11
(-27 * -0.1 + x * -0.1) + 0.3(x + 3) = x + 11
(2.7 + -0.1x) + 0.3(x + 3) = x + 11

Reorder the terms:
2.7 + -0.1x + 0.3(3 + x) = x + 11
2.7 + -0.1x + (3 * 0.3 + x * 0.3) = x + 11
2.7 + -0.1x + (0.9 + 0.3x) = x + 11

Reorder the terms:
2.7 + 0.9 + -0.1x + 0.3x = x + 11

Combine like terms: 2.7 + 0.9 = 3.6
3.6 + -0.1x + 0.3x = x + 11

Combine like terms: -0.1x + 0.3x = 0.2x
3.6 + 0.2x = x + 11

Reorder the terms:
3.6 + 0.2x = 11 + x

Solving
3.6 + 0.2x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3.6 + 0.2x + -1x = 11 + x + -1x

Combine like terms: 0.2x + -1x = -0.8x
3.6 + -0.8x = 11 + x + -1x

Combine like terms: x + -1x = 0
3.6 + -0.8x = 11 + 0
3.6 + -0.8x = 11

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.8x = 11 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.8x = 11 + -3.6
-0.8x = 11 + -3.6

Combine like terms: 11 + -3.6 = 7.4
-0.8x = 7.4

Divide each side by '-0.8'.
x = -9.25

Simplifying
x = -9.25