.2(x+2)-2=.05x

Solution for .2(x+2)-2=.05x equation:

Simplifying
0.2(x + 2) + -2 = 0.05x

Reorder the terms:
0.2(2 + x) + -2 = 0.05x
(2 * 0.2 + x * 0.2) + -2 = 0.05x
(0.4 + 0.2x) + -2 = 0.05x

Reorder the terms:
0.4 + -2 + 0.2x = 0.05x

Combine like terms: 0.4 + -2 = -1.6
-1.6 + 0.2x = 0.05x

Solving
-1.6 + 0.2x = 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-1.6 + 0.2x + -0.05x = 0.05x + -0.05x

Combine like terms: 0.2x + -0.05x = 0.15x
-1.6 + 0.15x = 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.6 + 0.15x = 0.00

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.15x = 0.00 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.15x = 0.00 + 1.6
0.15x = 0.00 + 1.6

Combine like terms: 0.00 + 1.6 = 1.6
0.15x = 1.6

Divide each side by '0.15'.
x = 10.66666667

Simplifying
x = 10.66666667