Question

Solve the equation |5-x|=2

Answer 1

$|5-x|=2\iff5-x=2\ \vee\ 5-x=-2\ \ \ \ |-5\\\\-x=-3\ \vee\ -x=-7\ \ \ |\text{change the signs}\\\\\boxed{x=3\ \vee\ x=7}$

Answer 2

Hi,

Work:

Equation;

$|5 - x| = 2$

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

$5 - x = 2 \\ 5 - x = - 2$

Solve both equations for x.

$x = 3 \\ x = 7$

Final solutions:

$x1 = 3 \\ x2 = 7$

Hope this helps.
r3t40