Lin was looking at the equation 2x - 32 + 4 (3x - 2462) = 14x.

She said, "I can tell right away there are no solutions, because on the left side, you will have 2x + 12x and a bunch of constants, but you have just 14x on the right side." Do you agree with Lin?

Question

Mathematics

Magdalena Hampton

24 April, 09:36

Lin was looking at the equation 2x - 32 + 4 (3x - 2462) = 14x.

She said, "I can tell right away there are no solutions, because on the left side, you will have 2x + 12x and a bunch of constants, but you have just 14x on the right side." Do you agree with Lin?

+5

Answers (1)

Know the Answer?

Lance Bell · Answer 1

Answer: Lin is correct but her thinking is wrong.

Step-by-step explanation:

2x-32+4 (3x-2462) = 14x

First solve parentheses: 2x-32+12x-9842=14x (you distribute the 4).

Then add common factors on the same side of the equal signs:

14x-9880=14x

When solving for x you would subtract 14x giving you:

-9880=0 which would never be true.

Lin was looking at the equation 2x - 32 + 4 (3x - 2462) = 14x.She said, "I can tell right away there are no solutions, because on the left side, you will have 2x + 12x and a bunch of constants, but you have just 14x on the right side." Do you agree with Lin?

Lin was looking at the equation 2x - 32 + 4 (3x - 2462) = 14x.

She said, "I can tell right away there are no solutions, because on the left side, you will have 2x + 12x and a bunch of constants, but you have just 14x on the right side." Do you agree with Lin?