.03(4-x)-.05(x+2)=.82

Solution for .03(4-x)-.05(x+2)=.82 equation:

Simplifying
0.03(4 + -1x) + -0.05(x + 2) = 0.82
(4 * 0.03 + -1x * 0.03) + -0.05(x + 2) = 0.82
(0.12 + -0.03x) + -0.05(x + 2) = 0.82

Reorder the terms:
0.12 + -0.03x + -0.05(2 + x) = 0.82
0.12 + -0.03x + (2 * -0.05 + x * -0.05) = 0.82
0.12 + -0.03x + (-0.1 + -0.05x) = 0.82

Reorder the terms:
0.12 + -0.1 + -0.03x + -0.05x = 0.82

Combine like terms: 0.12 + -0.1 = 0.02
0.02 + -0.03x + -0.05x = 0.82

Combine like terms: -0.03x + -0.05x = -0.08x
0.02 + -0.08x = 0.82

Solving
0.02 + -0.08x = 0.82

Solving for variable 'x'.

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

Add '-0.02' to each side of the equation.
0.02 + -0.02 + -0.08x = 0.82 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + -0.08x = 0.82 + -0.02
-0.08x = 0.82 + -0.02

Combine like terms: 0.82 + -0.02 = 0.8
-0.08x = 0.8

Divide each side by '-0.08'.
x = -10

Simplifying
x = -10