3.89x+2.79(50-x)=164.5

Solution for 3.89x+2.79(50-x)=164.5 equation:

Simplifying
3.89x + 2.79(50 + -1x) = 164.5
3.89x + (50 * 2.79 + -1x * 2.79) = 164.5
3.89x + (139.5 + -2.79x) = 164.5

Reorder the terms:
139.5 + 3.89x + -2.79x = 164.5

Combine like terms: 3.89x + -2.79x = 1.1x
139.5 + 1.1x = 164.5

Solving
139.5 + 1.1x = 164.5

Solving for variable 'x'.

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

Add '-139.5' to each side of the equation.
139.5 + -139.5 + 1.1x = 164.5 + -139.5

Combine like terms: 139.5 + -139.5 = 0.0
0.0 + 1.1x = 164.5 + -139.5
1.1x = 164.5 + -139.5

Combine like terms: 164.5 + -139.5 = 25
1.1x = 25

Divide each side by '1.1'.
x = 22.72727273

Simplifying
x = 22.72727273