40x+23(467-x)=13807

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Solution for 40x+23(467-x)=13807 equation:


Simplifying
40x + 23(467 + -1x) = 13807
40x + (467 * 23 + -1x * 23) = 13807
40x + (10741 + -23x) = 13807

Reorder the terms:
10741 + 40x + -23x = 13807

Combine like terms: 40x + -23x = 17x
10741 + 17x = 13807

Solving
10741 + 17x = 13807

Solving for variable 'x'.

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

Add '-10741' to each side of the equation.
10741 + -10741 + 17x = 13807 + -10741

Combine like terms: 10741 + -10741 = 0
0 + 17x = 13807 + -10741
17x = 13807 + -10741

Combine like terms: 13807 + -10741 = 3066
17x = 3066

Divide each side by '17'.
x = 180.3529412

Simplifying
x = 180.3529412

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