What mistake did this student make? Be specific
(Try solving it and compare what you got vs the sample below. It's ok if their steps are slightly different than yours but one of these steps is wrong)
22 + 53x + x = -20 + 60x
22 + 54x = -20 + 60x
22=-20 + 6X
2 = 6x
x = 1/3
The mistake the student made was in subtracting 53x from both sides of the equation. This resulted in incorrectly simplifying the equation. The student should have combined like terms first before isolating the variable.
Correct steps:
22 + 53x + x = -20 + 60x
22 + 54x = -20 + 60x
34x = -42
x = -42/34
x = -21/17