0.90x+0.058(8-x)=0.10(-115)

Solution for 0.90x+0.058(8-x)=0.10(-115) equation:

Simplifying
0.90x + 0.058(8 + -1x) = 0.10(-115)
0.90x + (8 * 0.058 + -1x * 0.058) = 0.10(-115)
0.90x + (0.464 + -0.058x) = 0.10(-115)

Reorder the terms:
0.464 + 0.90x + -0.058x = 0.10(-115)

Combine like terms: 0.90x + -0.058x = 0.842x
0.464 + 0.842x = 0.10(-115)

Multiply 0.10 * -115
0.464 + 0.842x = -11.5

Solving
0.464 + 0.842x = -11.5

Solving for variable 'x'.

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

Add '-0.464' to each side of the equation.
0.464 + -0.464 + 0.842x = -11.5 + -0.464

Combine like terms: 0.464 + -0.464 = 0.000
0.000 + 0.842x = -11.5 + -0.464
0.842x = -11.5 + -0.464

Combine like terms: -11.5 + -0.464 = -11.964
0.842x = -11.964

Divide each side by '0.842'.
x = -14.20902613

Simplifying
x = -14.20902613