.15x+.05(4-x)=.10(-6)

Solution for .15x+.05(4-x)=.10(-6) equation:

Simplifying
0.15x + 0.05(4 + -1x) = 0.10(-6)
0.15x + (4 * 0.05 + -1x * 0.05) = 0.10(-6)
0.15x + (0.2 + -0.05x) = 0.10(-6)

Reorder the terms:
0.2 + 0.15x + -0.05x = 0.10(-6)

Combine like terms: 0.15x + -0.05x = 0.1x
0.2 + 0.1x = 0.10(-6)

Multiply 0.10 * -6
0.2 + 0.1x = -0.6

Solving
0.2 + 0.1x = -0.6

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.1x = -0.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.1x = -0.6 + -0.2
0.1x = -0.6 + -0.2

Combine like terms: -0.6 + -0.2 = -0.8
0.1x = -0.8

Divide each side by '0.1'.
x = -8

Simplifying
x = -8