Question

Looking at Yari's equation below, what do you notice about both sides of the equation? 2(x + 10)-17=5+2x-2 2x + 20-17=3+2x 2x +3=3+2x A) Only the constants are the same on both sides. B) Both sides are exactly the same. C) The variable terms on each side of the equation are different. D) Only the variable terms are the same on both sides.

Answer 1

Option B) Both sides are exactly the same is correct

The equation 2x +3=3+2x is exactly same on both the sides

Explanation:

Given that looking at Yari's equation below,

2(x + 10)-17=5+2x-2

To notice about both the sides of the equation :

Her steps are

2(x + 10)-17=5+2x-2

2(x)+2(10)-17=3+2x ( by using the distributive property and adding the like terms )

2x + 20-17=3+2x ( simplifying the terms )

2x +3=3+2x

From the above equation we notice that the LHS=RHS

Therefore the Option B) Both sides are exactly the same is correct

Therefore the equation 2x +3=3+2x is exactly same on both the sides