.8x+.05(6-x)=.10(-42)

Solution for .8x+.05(6-x)=.10(-42) equation:

Simplifying
0.8x + 0.05(6 + -1x) = 0.10(-42)
0.8x + (6 * 0.05 + -1x * 0.05) = 0.10(-42)
0.8x + (0.3 + -0.05x) = 0.10(-42)

Reorder the terms:
0.3 + 0.8x + -0.05x = 0.10(-42)

Combine like terms: 0.8x + -0.05x = 0.75x
0.3 + 0.75x = 0.10(-42)

Multiply 0.10 * -42
0.3 + 0.75x = -4.2

Solving
0.3 + 0.75x = -4.2

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 + 0.75x = -4.2 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.75x = -4.2 + -0.3
0.75x = -4.2 + -0.3

Combine like terms: -4.2 + -0.3 = -4.5
0.75x = -4.5

Divide each side by '0.75'.
x = -6

Simplifying
x = -6