Question

Can someone help me with this?

Answer 1

Hello, the answer should be A,B and D options.

First, let's edit the given equations option-by-option.

Option A:

$-5x+12=5x+12$

$-5x-5x=-12+12$

$-10x=0$

$x=0$

There is only one solution which is $x=0$.

Option B:

$-5x+12=5x-5$

$-5x-5x=-12-5$

$-10x=-17$

$x=\frac{17}{10}$

There is only one solution which is $x=\frac{17}{10}$.

Option C:

$-5x+12=-5x-12$

$-5x+5x=-12-12$

$0\neq -24$

In Math, zero is not equal to minus twenty four ($0\neq -24$) that's why we do not have any solution in this equation.

Option D:

$-5x+12=-12x-12$

$-5x+12x=-12-12$

$7x=-24$

$x=-(\frac{24}{7} )$

There is only one solution which is $x=-(\frac{24}{7} )$