0.25(x+10)-0.02(x-40)=-3.6

Solution for 0.25(x+10)-0.02(x-40)=-3.6 equation:

Simplifying
0.25(x + 10) + -0.02(x + -40) = -3.6

Reorder the terms:
0.25(10 + x) + -0.02(x + -40) = -3.6
(10 * 0.25 + x * 0.25) + -0.02(x + -40) = -3.6
(2.5 + 0.25x) + -0.02(x + -40) = -3.6

Reorder the terms:
2.5 + 0.25x + -0.02(-40 + x) = -3.6
2.5 + 0.25x + (-40 * -0.02 + x * -0.02) = -3.6
2.5 + 0.25x + (0.8 + -0.02x) = -3.6

Reorder the terms:
2.5 + 0.8 + 0.25x + -0.02x = -3.6

Combine like terms: 2.5 + 0.8 = 3.3
3.3 + 0.25x + -0.02x = -3.6

Combine like terms: 0.25x + -0.02x = 0.23x
3.3 + 0.23x = -3.6

Solving
3.3 + 0.23x = -3.6

Solving for variable 'x'.

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

Add '-3.3' to each side of the equation.
3.3 + -3.3 + 0.23x = -3.6 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + 0.23x = -3.6 + -3.3
0.23x = -3.6 + -3.3

Combine like terms: -3.6 + -3.3 = -6.9
0.23x = -6.9

Divide each side by '0.23'.
x = -30

Simplifying
x = -30