Liam is solving the equation 7X plus 6X +3 equals 83 his steps are shown below what mistake did Liam make while solving

Answer 1

To identify the mistake Liam made while solving the equation, let's review the given steps:

7X + 6X + 3 = 83

Liam combined the coefficients of the X terms, which is correct:

13X + 3 = 83

However, Liam's mistake occurred in the next step, specifically regarding the constant terms:

13X + 3 ≠ 83

Instead of adding the numbers inside and outside of the equation, Liam should have subtracted 3 from both sides to isolate the variable term:

13X = 83 - 3
13X = 80

Therefore, the mistake Liam made was not subtracting 3 from both sides when transitioning to the next step after combining the coefficients of the X terms.