Question

read the porblem below. the problem was solve incorrectly. find the error that was made and explain it. then answer the problem correctly.
Problem: explain mistake made: correct work and annswert
3x + 2x - 6= 24
-2 -2x
x - 6= 25
+6 +6
x= 30

Answer 1

Mistake made: The mistake was made when subtracting 2x from both sides. Instead of subtracting 2x, -2 is mistakenly subtracted from both sides.

Correct work and answer:
3x + 2x - 6 = 24
(3 + 2)x - 6 = 24
5x - 6 = 24
Add 6 to both sides:
5x - 6 + 6 = 24 + 6
5x = 30
Divide both sides by 5:
(5x)/5 = 30/5
x = 6

The correct solution is: x = 6.