0.15(x+60)-0.04(x-40)=4

Solution for 0.15(x+60)-0.04(x-40)=4 equation:

Simplifying
0.15(x + 60) + -0.04(x + -40) = 4

Reorder the terms:
0.15(60 + x) + -0.04(x + -40) = 4
(60 * 0.15 + x * 0.15) + -0.04(x + -40) = 4
(9 + 0.15x) + -0.04(x + -40) = 4

Reorder the terms:
9 + 0.15x + -0.04(-40 + x) = 4
9 + 0.15x + (-40 * -0.04 + x * -0.04) = 4
9 + 0.15x + (1.6 + -0.04x) = 4

Reorder the terms:
9 + 1.6 + 0.15x + -0.04x = 4

Combine like terms: 9 + 1.6 = 10.6
10.6 + 0.15x + -0.04x = 4

Combine like terms: 0.15x + -0.04x = 0.11x
10.6 + 0.11x = 4

Solving
10.6 + 0.11x = 4

Solving for variable 'x'.

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

Add '-10.6' to each side of the equation.
10.6 + -10.6 + 0.11x = 4 + -10.6

Combine like terms: 10.6 + -10.6 = 0.0
0.0 + 0.11x = 4 + -10.6
0.11x = 4 + -10.6

Combine like terms: 4 + -10.6 = -6.6
0.11x = -6.6

Divide each side by '0.11'.
x = -60

Simplifying
x = -60