Question 1208696
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In any equation where terms are being combined using addition or subtraction, the terms must represent the same kinds of things.  Your equation is<br>
40x + 12(1.5) = 435<br>
In that equation, "40x" is her pay for 40 hours at rate x, and 435 is her total pay.  So those two terms both represent amounts of pay.<br>
But the term 12(1.5) does not represent an amount of pay.  "12 hours" times "1.5" simply gives 18 hours.<br>
As you show earlier in your post, "12(1.5x)" is her pay for the overtime hours.  So the correct equation, showing "pay for normal hours, plus pay for overtime, equals total pay" is<br>
40(x) + 12(1.5x) = 435<br>