Question

The expression on the left side of an equation is shown below. -5(x+ 2+ 3x0 If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? 0 -51x-3)+2x -5x - 10 O x-2x+2+3x 0-21x+5

Answer 1

Given the expression :

`-5(x+2)+3x=\boxed{\square}`

the equation has an infinite number of solutions

So, the left side must be equal the right side

So, simplify the left side:

`\begin{gathered} -5(x+2)+3x \\ =-5x-10+3x \\ =-2x-10 \end{gathered}`

We will check the option to see which one will give the previous result

• -5(x-3)+2x = -5x + 15 + 2x = -3x + 15 ,False

,

•

,

• -5x - 10 ,False

,

•

,

• x - 2x +2 + 3x = 2x + 2 ,False

,

•

,

• -2(x+5) = -2x - 10 ,True

So , the answer is option 4). -2(x+5)