Question

The expression on the left side of an equation is shown below.

-5(x+2)+3x-
VX
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 -5(x-3)+2x
O -5x - 10
O x-2x+2+3x
O-2(x+5)
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Answer 1

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Answer:

(d) -2(x +5)

Explanation:

For an infinite number of solutions, the left and right sides of the equal sign must have equivalent expressions.

Left side

-5(x +2) +3x

= -5x -10 +3x

= -2x -10

= -2(x +5)

Right Side Choices

(a) -5x +15 +2x = -3x +15

(b) -5x -10

(c) x -2x +2 +3x = 2x +2

(d) -2(x +5) = -2x -10 . . . . . . . matches left-side expression