Question

The expression on the left side of an equation is shown below. Negative 5 (x + 2) + 3 x = box If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? Negative 5 (x minus 3) + 2 x –5x – 10 xMinus 2 x + 2 + 3 x Negative 2 (x + 5)

Answer 1

Answer: D= - 2 (x + 5)

Step-by-step explanation:

Answer 2

Option 4: -2(x+5) can be written on the other side of the equation

Step-by-step explanation:

Given left side of equation:

$-5 (x + 2) + 3 x$

In order to find the right hand side which will make this equation have infinite many solutions we have to simplify the given side and the options as the equation has infinite many solutions when both sides of an equation are same.

So,

Simplifying the left side

$-5 (x + 2) + 3 x\\=-5x-10+3x\\=-2x-10$

Now options will be simplified one by one

Option 1:

$- 5 (x-3) + 2 x\\=-5x+15+2x\\=-3x+15$

Option 2:

–5x – 10

Option 3:

$x-2x+2+x\\=2$

Option 4:

$-2(x+5)\\= -2x-10$

Hence,

Option 4: -2(x+5) can be written on the other side of the equation

Keywords: Linear equation, variables

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