Question

Determine which expression is equivalent to

3
4
−
x
(
1
2
−
5
8
)
+
(
−
3
8
x
)
4
3
​
−x(
2
1
​
−
8
5
​
)+(−
8
3
​
x).
A
−34x−
4
3
​
x
B
12x
2
1
​
x
C
18−78x
8
1
​
−
8
7
​
x
D
34−14x
4
3
​
−
4
1
​
x

Answer 1

Answer: We can simplify the expression step by step:

3/4 − x(1/2 − 5/8) + (−3/8)x

3/4 − x(-1/8) + (−3/8)x

3/4 + x/8 − 3/8x

Multiplying everything by 8 to get rid of the fractions:

6 − x + (−3x)

6 − 4x

Therefore, the equivalent expression is D) 34 - 14x / (4/3).

Explanation: