0.85x+0.89(6-x)=5.22

Solution for 0.85x+0.89(6-x)=5.22 equation:

Simplifying
0.85x + 0.89(6 + -1x) = 5.22
0.85x + (6 * 0.89 + -1x * 0.89) = 5.22
0.85x + (5.34 + -0.89x) = 5.22

Reorder the terms:
5.34 + 0.85x + -0.89x = 5.22

Combine like terms: 0.85x + -0.89x = -0.04x
5.34 + -0.04x = 5.22

Solving
5.34 + -0.04x = 5.22

Solving for variable 'x'.

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

Add '-5.34' to each side of the equation.
5.34 + -5.34 + -0.04x = 5.22 + -5.34

Combine like terms: 5.34 + -5.34 = 0.00
0.00 + -0.04x = 5.22 + -5.34
-0.04x = 5.22 + -5.34

Combine like terms: 5.22 + -5.34 = -0.12
-0.04x = -0.12

Divide each side by '-0.04'.
x = 3

Simplifying
x = 3