0.85x+0.005(10-x)=.10(-59)

Solution for 0.85x+0.005(10-x)=.10(-59) equation:

Simplifying
0.85x + 0.005(10 + -1x) = 0.10(-59)
0.85x + (10 * 0.005 + -1x * 0.005) = 0.10(-59)
0.85x + (0.05 + -0.005x) = 0.10(-59)

Reorder the terms:
0.05 + 0.85x + -0.005x = 0.10(-59)

Combine like terms: 0.85x + -0.005x = 0.845x
0.05 + 0.845x = 0.10(-59)

Multiply 0.10 * -59
0.05 + 0.845x = -5.9

Solving
0.05 + 0.845x = -5.9

Solving for variable 'x'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.845x = -5.9 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.845x = -5.9 + -0.05
0.845x = -5.9 + -0.05

Combine like terms: -5.9 + -0.05 = -5.95
0.845x = -5.95

Divide each side by '0.845'.
x = -7.041420118

Simplifying
x = -7.041420118