what is Five times the sum of a number and 4 is equal to twice the difference of the same number and two?

Answer 1

Let the number be equal to x.

Sum of the number and 4 is x + 4.

Five times the Sum of the number and 4 is 5*( x + 4 ). ------>. (A)

Difference of the number and two is x - 2.

Twice the Difference of the number and two is 2*( x - 2 ). ------>. (B)

Question states (A) is equal to be (B).

5(x+4) = 2(x-2)

Using distributive property:

5x + 5*4 = 2x - 2*2

5x + 20 = 2x - 4

Grouping the like terms together:

5x - 2x = -4 - 20

3x = -24

x = -24/3

x = -8

Answer 2

5 (x + 4) = 2 (x - 2)