0.85x+.05(4-x)=.10(-142)

Solution for 0.85x+.05(4-x)=.10(-142) equation:

Simplifying
0.85x + 0.05(4 + -1x) = 0.10(-142)
0.85x + (4 * 0.05 + -1x * 0.05) = 0.10(-142)
0.85x + (0.2 + -0.05x) = 0.10(-142)

Reorder the terms:
0.2 + 0.85x + -0.05x = 0.10(-142)

Combine like terms: 0.85x + -0.05x = 0.8x
0.2 + 0.8x = 0.10(-142)

Multiply 0.10 * -142
0.2 + 0.8x = -14.2

Solving
0.2 + 0.8x = -14.2

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 = -14.2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8x = -14.2 + -0.2
0.8x = -14.2 + -0.2

Combine like terms: -14.2 + -0.2 = -14.4
0.8x = -14.4

Divide each side by '0.8'.
x = -18

Simplifying
x = -18