Consider the expression. – (x + 3) – 2(4x – 3)

Which procedure correctly simplifies the expression?

A.
Step 1: –x + 3 – 8x + 6

Step 2: –9x + 9

B.
Step 1: –x – 3 – 8x – 3

Step 2: –9x – 6

C.
Step 1: –x – 3 – 8x – 6

Step 2: –9x – 6

D.
Step 1: –x – 3 – 8x + 6

Step 2: –9x + 3

D

Step-by-step explanation:

Given

- (x + 3) - 2(4x - 3) ← distribute both parenthesis

step 1

= - x - 3 - 8x + 6 ← collect like terms

step 2

= - 9x + 3

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .