.30x+.05(6-x)=.1(-2)

Solution for .30x+.05(6-x)=.1(-2) equation:

Simplifying
0.30x + 0.05(6 + -1x) = 0.1(-2)
0.30x + (6 * 0.05 + -1x * 0.05) = 0.1(-2)
0.30x + (0.3 + -0.05x) = 0.1(-2)

Reorder the terms:
0.3 + 0.30x + -0.05x = 0.1(-2)

Combine like terms: 0.30x + -0.05x = 0.25x
0.3 + 0.25x = 0.1(-2)

Multiply 0.1 * -2
0.3 + 0.25x = -0.2

Solving
0.3 + 0.25x = -0.2

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.25x = -0.2 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.25x = -0.2 + -0.3
0.25x = -0.2 + -0.3

Combine like terms: -0.2 + -0.3 = -0.5
0.25x = -0.5

Divide each side by '0.25'.
x = -2

Simplifying
x = -2