0.1(x+20)-0.03(x-40)=1.1

Solution for 0.1(x+20)-0.03(x-40)=1.1 equation:

Simplifying
0.1(x + 20) + -0.03(x + -40) = 1.1

Reorder the terms:
0.1(20 + x) + -0.03(x + -40) = 1.1
(20 * 0.1 + x * 0.1) + -0.03(x + -40) = 1.1
(2 + 0.1x) + -0.03(x + -40) = 1.1

Reorder the terms:
2 + 0.1x + -0.03(-40 + x) = 1.1
2 + 0.1x + (-40 * -0.03 + x * -0.03) = 1.1
2 + 0.1x + (1.2 + -0.03x) = 1.1

Reorder the terms:
2 + 1.2 + 0.1x + -0.03x = 1.1

Combine like terms: 2 + 1.2 = 3.2
3.2 + 0.1x + -0.03x = 1.1

Combine like terms: 0.1x + -0.03x = 0.07x
3.2 + 0.07x = 1.1

Solving
3.2 + 0.07x = 1.1

Solving for variable 'x'.

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

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 0.07x = 1.1 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 0.07x = 1.1 + -3.2
0.07x = 1.1 + -3.2

Combine like terms: 1.1 + -3.2 = -2.1
0.07x = -2.1

Divide each side by '0.07'.
x = -30

Simplifying
x = -30