2.35x+5.50(22-x)=89.50

Solution for 2.35x+5.50(22-x)=89.50 equation:

Simplifying
2.35x + 5.50(22 + -1x) = 89.50
2.35x + (22 * 5.50 + -1x * 5.50) = 89.50
2.35x + (121 + -5.5x) = 89.50

Reorder the terms:
121 + 2.35x + -5.5x = 89.50

Combine like terms: 2.35x + -5.5x = -3.15x
121 + -3.15x = 89.50

Solving
121 + -3.15x = 89.50

Solving for variable 'x'.

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

Add '-121' to each side of the equation.
121 + -121 + -3.15x = 89.50 + -121

Combine like terms: 121 + -121 = 0
0 + -3.15x = 89.50 + -121
-3.15x = 89.50 + -121

Combine like terms: 89.50 + -121 = -31.5
-3.15x = -31.5

Divide each side by '-3.15'.
x = 10

Simplifying
x = 10