-1.6(x-12)+.5(x+2)=x-21

Solution for -1.6(x-12)+.5(x+2)=x-21 equation:

Simplifying
-1.6(x + -12) + 0.5(x + 2) = x + -21

Reorder the terms:
-1.6(-12 + x) + 0.5(x + 2) = x + -21
(-12 * -1.6 + x * -1.6) + 0.5(x + 2) = x + -21
(19.2 + -1.6x) + 0.5(x + 2) = x + -21

Reorder the terms:
19.2 + -1.6x + 0.5(2 + x) = x + -21
19.2 + -1.6x + (2 * 0.5 + x * 0.5) = x + -21
19.2 + -1.6x + (1 + 0.5x) = x + -21

Reorder the terms:
19.2 + 1 + -1.6x + 0.5x = x + -21

Combine like terms: 19.2 + 1 = 20.2
20.2 + -1.6x + 0.5x = x + -21

Combine like terms: -1.6x + 0.5x = -1.1x
20.2 + -1.1x = x + -21

Reorder the terms:
20.2 + -1.1x = -21 + x

Solving
20.2 + -1.1x = -21 + 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.
20.2 + -1.1x + -1x = -21 + x + -1x

Combine like terms: -1.1x + -1x = -2.1x
20.2 + -2.1x = -21 + x + -1x

Combine like terms: x + -1x = 0
20.2 + -2.1x = -21 + 0
20.2 + -2.1x = -21

Add '-20.2' to each side of the equation.
20.2 + -20.2 + -2.1x = -21 + -20.2

Combine like terms: 20.2 + -20.2 = 0.0
0.0 + -2.1x = -21 + -20.2
-2.1x = -21 + -20.2

Combine like terms: -21 + -20.2 = -41.2
-2.1x = -41.2

Divide each side by '-2.1'.
x = 19.61904762

Simplifying
x = 19.61904762