0.2+1.6=x-0.8(x-2)

Solution for 0.2+1.6=x-0.8(x-2) equation:

Simplifying
0.2 + 1.6 = x + -0.8(x + -2)

Combine like terms: 0.2 + 1.6 = 1.8
1.8 = x + -0.8(x + -2)

Reorder the terms:
1.8 = x + -0.8(-2 + x)
1.8 = x + (-2 * -0.8 + x * -0.8)
1.8 = x + (1.6 + -0.8x)

Reorder the terms:
1.8 = 1.6 + x + -0.8x

Combine like terms: x + -0.8x = 0.2x
1.8 = 1.6 + 0.2x

Solving
1.8 = 1.6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
1.8 + -0.2x = 1.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.8 + -0.2x = 1.6 + 0.0
1.8 + -0.2x = 1.6

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.2x = 1.6 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.2x = 1.6 + -1.8
-0.2x = 1.6 + -1.8

Combine like terms: 1.6 + -1.8 = -0.2
-0.2x = -0.2

Divide each side by '-0.2'.
x = 1

Simplifying
x = 1