Question

Leon is solving the equation 7X + 6 ( x + 3)=83 his steps are shown below what mistake did Liam make while solving 7X + 6 ( x + 3)=83 7x+6x+3=83 13x+3=83 13x+3-3=83-3 13x=80 13x/13=80/13 x=6 2/13

Answer 1

Liam made a mistake when simplifying the equation 7x + 6(x + 3) = 83.

Instead of combining like terms correctly, Liam mistakenly added 7x and 6x together. The correct step should have been:

7x + 6x + 18 = 83 (distributing the 6 to both terms inside the parentheses)

Therefore, Liam's mistake was adding 7x and 6x together as 13x instead of adding them as 13x + 18.