9.25(40)+13.88(x-40)=401.23

Solution for 9.25(40)+13.88(x-40)=401.23 equation:

Simplifying
9.25(40) + 13.88(x + -40) = 401.23

Multiply 9.25 * 40
370 + 13.88(x + -40) = 401.23

Reorder the terms:
370 + 13.88(-40 + x) = 401.23
370 + (-40 * 13.88 + x * 13.88) = 401.23
370 + (-555.2 + 13.88x) = 401.23

Combine like terms: 370 + -555.2 = -185.2
-185.2 + 13.88x = 401.23

Solving
-185.2 + 13.88x = 401.23

Solving for variable 'x'.

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

Add '185.2' to each side of the equation.
-185.2 + 185.2 + 13.88x = 401.23 + 185.2

Combine like terms: -185.2 + 185.2 = 0.0
0.0 + 13.88x = 401.23 + 185.2
13.88x = 401.23 + 185.2

Combine like terms: 401.23 + 185.2 = 586.43
13.88x = 586.43

Divide each side by '13.88'.
x = 42.25

Simplifying
x = 42.25