Solve for x.

x+3=sqrt4x+-17

x = 2

Step-by-step explanation:

x + 3 = √(4x + 17)

x² + 6x + 9 = 4x + 17

x² + 2x − 8 = 0

(x + 4) (x − 2) = 0

x = 2 or -4

Check for extraneous solutions.

2 + 3 = √(4(2) + 17)

-4 + 3 ≠ √(4(-4) + 17)

x = -4 is not a solution.  So x = 2.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation: