Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15
solve for x.
5(x + 1) = 4(x + 8)

Part 1)

The value of x is

Part 2)

Step-by-step explanation:

Part 1)  Simplify the given equation

we have

In the left side, remove the parenthesis and apply the distributive property

Remember that

so

Combine like terms left side

Adds 7x both sides

subtract 15 both sides

Divide by 7 both sides

Part 2) Solve for x.

Apply distributive property both sides

Group terms that contain the same variable

Combine like terms

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet