.1=-1.2(x-.5)

Solution for .1=-1.2(x-.5) equation:

Simplifying
0.1 = -1.2(x + -0.5)

Reorder the terms:
0.1 = -1.2(-0.5 + x)
0.1 = (-0.5 * -1.2 + x * -1.2)
0.1 = (0.6 + -1.2x)

Solving
0.1 = 0.6 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
0.1 + 1.2x = 0.6 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
0.1 + 1.2x = 0.6 + 0.0
0.1 + 1.2x = 0.6

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 1.2x = 0.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 1.2x = 0.6 + -0.1
1.2x = 0.6 + -0.1

Combine like terms: 0.6 + -0.1 = 0.5
1.2x = 0.5

Divide each side by '1.2'.
x = 0.4166666667

Simplifying
x = 0.4166666667