Find the value of x (7x) (2x+27) a. 7 b. 49 c. 61 d. 17

Solution for 7x=2x+27 equation:

Simplifying

7x = 2x + 27  

Reorder the terms:

7x = 27 + 2x

Solving

7x = 27 + 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.

7x + -2x = 27 + 2x + -2x

Combine like terms: 7x + -2x = 5x

5x = 27 + 2x + -2x

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

5x = 27 + 0

5x = 27

Divide each side by '5'.

x = 5.4

Simplifying

x = 5.4

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

ratio is 2 : 9

the answer is three

13.5 : 3