Question

(Iv'e posted this question before, but I forgot the multiple choice answers)
Which is the simplified version of 7x−4(x−8)=56?

A: 11x+32=56
B: 3x−8=56
C: 3x-32=56
D: 3x+32=56

Answer 1

Option D

The simplified version of 7x − 4(x − 8) = 56 is 3x + 32 = 56

Solution:

Given expression is:

$7x - 4(x - 8) = 56$

Use distributive property to simplify the expression

By distributive property,

a(b + c) = ab + ac

Therefore,

$7x - 4(x - 8) = 56\\\\7x - 4x + 32 = 56$

Combine the like terms : 7x - 4x = 3x

Therefore,

$3x + 32 = 56$

Thus option D is correct