6(x-k)=5x+4

show that x must be an even number.

See Below

Step-by-step explanation:

We will use distributive property [a(b+c) = ab + ac] to simplify the left-hand side of the equation and add like terms and solve for x first. Process shown below:

To show x is ALWAYS AN EVEN number, we can plug in a value for k (even and odd) to show that x becomes always even.

Even Number Case:

k = 2 (2 is an even number, any even would be the same):

x is 16, which is even number

Odd Number Case:

k = 3 (3 is an odd number, any odd would be the same):

x is 22, which is an even number.

Hence, x will always be an even number (shown).

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

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step-by-step explanation:

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