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 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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer will be the last one