.04(x-3)+0.15(x+6)=3.82

Solution for .04(x-3)+0.15(x+6)=3.82 equation:

Simplifying
0.04(x + -3) + 0.15(x + 6) = 3.82

Reorder the terms:
0.04(-3 + x) + 0.15(x + 6) = 3.82
(-3 * 0.04 + x * 0.04) + 0.15(x + 6) = 3.82
(-0.12 + 0.04x) + 0.15(x + 6) = 3.82

Reorder the terms:
-0.12 + 0.04x + 0.15(6 + x) = 3.82
-0.12 + 0.04x + (6 * 0.15 + x * 0.15) = 3.82
-0.12 + 0.04x + (0.9 + 0.15x) = 3.82

Reorder the terms:
-0.12 + 0.9 + 0.04x + 0.15x = 3.82

Combine like terms: -0.12 + 0.9 = 0.78
0.78 + 0.04x + 0.15x = 3.82

Combine like terms: 0.04x + 0.15x = 0.19x
0.78 + 0.19x = 3.82

Solving
0.78 + 0.19x = 3.82

Solving for variable 'x'.

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

Add '-0.78' to each side of the equation.
0.78 + -0.78 + 0.19x = 3.82 + -0.78

Combine like terms: 0.78 + -0.78 = 0.00
0.00 + 0.19x = 3.82 + -0.78
0.19x = 3.82 + -0.78

Combine like terms: 3.82 + -0.78 = 3.04
0.19x = 3.04

Divide each side by '0.19'.
x = 16

Simplifying
x = 16