From the set {2, 17, 19}, use substitution to determine which value of x makes the equation true. 54x = 864 a 17 b 2 c 19 d none of these

54x = 864

A. x = 17 → 54(17) = 918 ≠ 864

B. x = 2 → 54(2) = 108 ≠ 864

C. x = 19 → 54(19) = 1,026 ≠ 864

Solution

54x = 864     divide both sides by 54

x = 16

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'.