Question

Tony solves the linear equation 3(x - 3) + 2x + 9 = 2x + 2(x - 1) using the step shown below.

Step 1: 3x - 3 + 2x + 9 = 2x + 2x - 1

Step 2: 5x + 6 = 4x - 1

Step 3: 5x - 4x = -1 - 6

Step 4: x = -7

a
He distributed incorrectly.
b
He incorrectly applied the multiplication and division properties of equality.
c
He incorrectly applied the addition and subtraction properties of equality.
d
He incorrectly combined like terms.

Answer 1

(a)

Explanation:

(a ) He distributed incorrectly. Note that 3(x - 3) = 3x - 9.

Answer 2

a

He distributed incorrectly.

Explanation:

3(x - 3) + 2x + 9 = 2x + 2(x - 1)

3x - 9 + 2x + 9 = 2x + 2x - 2

5x = 4x - 2

x = -2