.85x+.96(2-x)=.89(2)

Solution for .85x+.96(2-x)=.89(2) equation:

Simplifying
0.85x + 0.96(2 + -1x) = 0.89(2)
0.85x + (2 * 0.96 + -1x * 0.96) = 0.89(2)
0.85x + (1.92 + -0.96x) = 0.89(2)

Reorder the terms:
1.92 + 0.85x + -0.96x = 0.89(2)

Combine like terms: 0.85x + -0.96x = -0.11x
1.92 + -0.11x = 0.89(2)

Multiply 0.89 * 2
1.92 + -0.11x = 1.78

Solving
1.92 + -0.11x = 1.78

Solving for variable 'x'.

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

Add '-1.92' to each side of the equation.
1.92 + -1.92 + -0.11x = 1.78 + -1.92

Combine like terms: 1.92 + -1.92 = 0.00
0.00 + -0.11x = 1.78 + -1.92
-0.11x = 1.78 + -1.92

Combine like terms: 1.78 + -1.92 = -0.14
-0.11x = -0.14

Divide each side by '-0.11'.
x = 1.272727273

Simplifying
x = 1.272727273