Question

Susie and Amelia solved the same equation using two separate methods. Their work is shown in the table below:


Susie

Amelia

2x − 3 = 4x − 2

2x − 3 = 4x − 2

2x − 2x − 3 = 4x − 2x − 2

2x − 3 + 3 = 4x − 2 + 3

−3 = 2x − 2

2x = 4x + 1

−3 − 2 = 2x

2x − 4x = 4x − 4x + 1

−5 = −2x

−2x = 1

negative five divided by two equals two x divided by two

negative two x divided by negative two equals one divided by negative two

negative five over two = x

x = negative one half