Question

3-x=5x+21

A: The solution set is (_) Simplified
B: There is no solution
Pick one and if A then simplify the answer

Answer 1

x = - 3

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

`\boxed{ \sf{ \bold{</strong><strong>-</strong><strong> 3}}}`

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{ ( - 6x)/( - 6) = (18)/(-6)}`

Calculate

⇒
`\sf{x = -3}`

Hope I helped!

Best regards!!