Question

3-x=5x+21

Answer 1

Answer:

x = - 3

Step-by-step explanation:

3 - x = 5x + 21

- x + 3 = 5x + 21

(- x + 3) + (- 3 - 5x) = (5x + 21) + (- 3 - 5x)

(- x + 3) + (- 5x - 3) = (5x + 21) + (- 5x - 3)

- x + 3 - 5x - 3 = 5x + 21 - 5x - 3

- x - 5x + 3 - 3 = 5x - 5x + 21 - 3

- 6x = 18

x = - 18/6

x = - 3

Answer 2

Answer:

$\boxed{ \sf{ \bold{- 3}}}$

Step-by-step explanation:

$\sf{3 - x = 5x + 21}$

Move 5x to left hand side and change it's sign

⇒$\sf{ - x - 5x + 3 = 21}$

Move 3 to right hand side and change it's sign

⇒$\sf{ - x - 5x = 21 - 3}$

Collect like terms

⇒$\sf{ - 6x = 21 - 3}$

Subtract 3 from 21

⇒$\sf{ - 6x = 18}$

Divide both sides of the equation by -6

⇒$\sf{ \frac{ - 6x}{ - 6} = \frac{18}{-6}}$

Calculate

⇒$\sf{x = -3}$

Hope I helped!

Best regards!!