Respuesta :

r3t40
Hi,

Work:

Equation;

[tex] |5 - x| = 2[/tex]

Rewrite the absolute value equation as two separate equations, one positive and the other one negative.

[tex]5 - x = 2 \\ 5 - x = - 2[/tex]

Solve both equations for x.

[tex]x = 3 \\ x = 7[/tex]

Final solutions:

[tex]x1 = 3 \\ x2 = 7[/tex]

Hope this helps.
r3t40
gmany

[tex]|5-x|=2\iff5-x=2\ \vee\ 5-x=-2\ \ \ \ |-5\\\\-x=-3\ \vee\ -x=-7\ \ \ |\text{change the signs}\\\\\boxed{x=3\ \vee\ x=7}[/tex]