The first thing we need to do in order to determine expression matches each other, we would have to solve for each and compare the result. By applyig disbutive property in opening the bracket.
1) 2(x-2) = 2x - 4
2) (x+14) - (8-2x)
= x+14 -8 +2x
By collecting like terms, we have:
= 3x + 6
3) 3(x+5)
= 3x + 15
4) -4(x+1) + 5x
= -4x - 4 + 5x
Note: multiplication of same sign is positive, while the multiplication of opposite signs is negative
= x-4
5) (7+5x) + (-4x-1)
= 7+5x - 4x - 1
Note: multiplication of same sign is positive, while the multiplication of opposite signs is negative
= 6+x = x + 6
Next we check out the options:
a) 9x - 2(3x-3)
9x - 6x + 6
= 3x + 6
b) -7+6x - 4x +3
collect like terms:
-4 + 2x
= 2x-4
c) (7-2x) + (3x+11)
7-2x + 3x + 11
= 18 + x
d) -3x + 6 + 4x
collect like terms:
x + 6
e) -2x + 9 + 5x + 6
= 3x + 15
Next we compare:
number 1 and option b are equal
number 2 and option a are equal
number 3 and option e are equal
number 5 and option d are equal
number 4 isnot equal to any of the option, hence it is not equivalent to any.
From the above, those number equal they are equivalent to each other.
