Simply the equation 3x+1=2x+5

4

Step-by-step explanation: 3x+1−2x=2x+5−2x

                                               x + 1 = 5

                                               x+1−1=5−1

                                                x=4

Simplifying

3x + -1 = 2x + 5

Reorder the terms:

-1 + 3x = 2x + 5

Reorder the terms:

-1 + 3x = 5 + 2x

Solving

-1 + 3x = 5 + 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.

-1 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-1 + 1x = 5 + 2x + -2x

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

-1 + 1x = 5 + 0

-1 + 1x = 5

Add '1' to each side of the equation.

-1 + 1 + 1x = 5 + 1

Combine like terms: -1 + 1 = 0

0 + 1x = 5 + 1

1x = 5 + 1

Combine like terms: 5 + 1 = 6

1x = 6

Divide each side by '1'.

x = 6

Simplifying

x = 6

Answer is 6

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

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