Question

1. a student solved the following equation. 1 = 5 - 2(3x - 4) 1 = 5 - 6x + 8 1 = 13 - 6x -12 = -6x 2 = x did the student solve the equation correctly? if not, circle and explain the error.

Explanation:

Step1: Check distributive property

The student correctly distributed -2: $-2(3x - 4)=-6x + 8$.

Step2: Combine like - terms

Combining 5 and 8 to get 13 is correct: $5+8 = 13$.

Step3: Isolate variable

Subtracting 13 from both sides: $1-13=-6x$ gives $- 12=-6x$. Then dividing by -6 to get $x = 2$ is correct.

Answer:

The student solved the equation correctly.