.2(10-5(x-2))=.1(x+1)

Solution for .2(10-5(x-2))=.1(x+1) equation:

Simplifying
0.2(10 + -5(x + -2)) = 0.1(x + 1)

Reorder the terms:
0.2(10 + -5(-2 + x)) = 0.1(x + 1)
0.2(10 + (-2 * -5 + x * -5)) = 0.1(x + 1)
0.2(10 + (10 + -5x)) = 0.1(x + 1)

Combine like terms: 10 + 10 = 20
0.2(20 + -5x) = 0.1(x + 1)
(20 * 0.2 + -5x * 0.2) = 0.1(x + 1)
(4 + -1x) = 0.1(x + 1)

Reorder the terms:
4 + -1x = 0.1(1 + x)
4 + -1x = (1 * 0.1 + x * 0.1)
4 + -1x = (0.1 + 0.1x)

Solving
4 + -1x = 0.1 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
4 + -1x + -0.1x = 0.1 + 0.1x + -0.1x

Combine like terms: -1x + -0.1x = -1.1x
4 + -1.1x = 0.1 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
4 + -1.1x = 0.1 + 0.0
4 + -1.1x = 0.1

Add '-4' to each side of the equation.
4 + -4 + -1.1x = 0.1 + -4

Combine like terms: 4 + -4 = 0
0 + -1.1x = 0.1 + -4
-1.1x = 0.1 + -4

Combine like terms: 0.1 + -4 = -3.9
-1.1x = -3.9

Divide each side by '-1.1'.
x = 3.545454545

Simplifying
x = 3.545454545