.85x+.05(4-x)=.10(-126)

Solution for .85x+.05(4-x)=.10(-126) equation:

Simplifying
0.85x + 0.05(4 + -1x) = 0.10(-126)
0.85x + (4 * 0.05 + -1x * 0.05) = 0.10(-126)
0.85x + (0.2 + -0.05x) = 0.10(-126)

Reorder the terms:
0.2 + 0.85x + -0.05x = 0.10(-126)

Combine like terms: 0.85x + -0.05x = 0.8x
0.2 + 0.8x = 0.10(-126)

Multiply 0.10 * -126
0.2 + 0.8x = -12.6

Solving
0.2 + 0.8x = -12.6

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 + 0.8x = -12.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8x = -12.6 + -0.2
0.8x = -12.6 + -0.2

Combine like terms: -12.6 + -0.2 = -12.8
0.8x = -12.8

Divide each side by '0.8'.
x = -16

Simplifying
x = -16