Question

Simplify the expression: 2[3−4(x–5)]−[3–7(x+2)].

a) 2x+41

b) 14x−35

c) 2x−41

d) 14x+35

Answer 1

To simplify the expression, follow the order of operations. The simplified expression is -9 - x. To simplify the expression, we need to follow the order of operations (PEMDAS/BODMAS). Let's start by simplifying the expression inside the square brackets.

Step-by-step explanation:

To simplify the expression, we need to follow the order of operations (PEMDAS/BODMAS). Let's start by simplifying the expression inside the square brackets:

3 - 4(x - 5) = 3 - 4x + 20 = 23 - 4x

Next, simplify the expression inside the second set of square brackets:

3 - 7(x + 2) = 3 - 7x - 14 = -11 - 7x

Now, substitute these simplified expressions back into the original expression:

2(23 - 4x) - (-11 - 7x) = 46 - 8x + 11 + 7x = -9 - x

So, the simplified expression is -9 - x.