Can someone please help me with his proportion?

Question

The proportion is: (15/x+2)=(3/5). Solve for X.

Please include the step-by-step procedures too.

Answer 1

15/(x + 2) = 3/5

The Means: 3(x + 2)

The extremes: 15(5)

The equation

3(x + 3) = 15(5)

3x + 6 = 75

Transpose 6

3x + 6 - 6 = 75 - 6

Collect like terms

3x = 69

divide both sides of the equatio by 3

3x / 3 = 39 / 3

x = 69/3

x = 23

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Check

15/(x + 2) = 3/5

15/(23 + 2) = 3/5

15/25 = 3/5

Simplify the left side of the equation

The numerator : 5 factors into 15 three (3) times;

The denominator: 5 factors into 25 five (5) times

3/5 = 3/5

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Answer 2

First: eliminate fractions - multiply the least common denominator, which is 5(x+2)

5(x+2)(15/x+2) = 5(x+2)(3/5)

*Cross cancel the same terms & combine the rest.

(5)(15) = (x+2)(3)
75 = 3(x) + 3(2)
75 = 3x + 6

SEc: combine "like" terms - subtract 6 from both sides (when you move a term to the opposite side, always use the opposite sign).

75-6 = 3x + 6-6
69 = 3x

Third: isolate "x" by itself - divide both sides by 3.

69/3 = 3x/3
23 = x, or x = 23

Answer 3

15/(x +2) = 3/5, cross multiply
15 x 5 = 3(x + 2), simplify
75 = 3x + 6, solve by subtracting 6 from both sides
69 = 3x, solve by dividing both sides by 3
23 = x

check:
15/25 simplifies to 3/5

Answer 4

15/x+2=3/5
15/x=3/5-2
15/x=3/5-2(5/5)
15/x=3/5-10/5
15x=-7/5
x=(-7/5)/15
x=-7/5*1/15= -7/75