-0.16(x-18)+0.3(x+3)=x-6

Solution for -0.16(x-18)+0.3(x+3)=x-6 equation:

Simplifying
-0.16(x + -18) + 0.3(x + 3) = x + -6

Reorder the terms:
-0.16(-18 + x) + 0.3(x + 3) = x + -6
(-18 * -0.16 + x * -0.16) + 0.3(x + 3) = x + -6
(2.88 + -0.16x) + 0.3(x + 3) = x + -6

Reorder the terms:
2.88 + -0.16x + 0.3(3 + x) = x + -6
2.88 + -0.16x + (3 * 0.3 + x * 0.3) = x + -6
2.88 + -0.16x + (0.9 + 0.3x) = x + -6

Reorder the terms:
2.88 + 0.9 + -0.16x + 0.3x = x + -6

Combine like terms: 2.88 + 0.9 = 3.78
3.78 + -0.16x + 0.3x = x + -6

Combine like terms: -0.16x + 0.3x = 0.14x
3.78 + 0.14x = x + -6

Reorder the terms:
3.78 + 0.14x = -6 + x

Solving
3.78 + 0.14x = -6 + 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.
3.78 + 0.14x + -1x = -6 + x + -1x

Combine like terms: 0.14x + -1x = -0.86x
3.78 + -0.86x = -6 + x + -1x

Combine like terms: x + -1x = 0
3.78 + -0.86x = -6 + 0
3.78 + -0.86x = -6

Add '-3.78' to each side of the equation.
3.78 + -3.78 + -0.86x = -6 + -3.78

Combine like terms: 3.78 + -3.78 = 0.00
0.00 + -0.86x = -6 + -3.78
-0.86x = -6 + -3.78

Combine like terms: -6 + -3.78 = -9.78
-0.86x = -9.78

Divide each side by '-0.86'.
x = 11.37209302

Simplifying
x = 11.37209302