For all x, 5-3(x-4) i with this question

Solve: for X:

5 - 3 ( x - 4 )

Solution: 5 - 3 ( x - 4) ==> - 3x + 17

Steps:

5 - 3 ( x - 4 )

Expand:

- 3 ( x - 4): ==> - 3x + 12

Apply the Distributive Law: a ( b - c ) ==> ab - ac

a = - 3

b = x

c = 4

==> - 3x - ( - 3 ) * 4

Apply Minus / Plus Rules:

- a ( - a ) ==> a

==> - 3x + 3 * 4

Multiply Numbers: 3 * 4 ==> 12

- 3x + 12 ==> 5 - 3x + 12

Simplify:

5 - 3x + 12 ==> 3x + 17 ==> 5 - 3x + 12

Group Like Terms:

- 3x + 5 + 12

Add the Numbers:

5 + 12 ==> 17

- 3x + 17

X = -3x + 17

Therefore, X ==> - 3x + 17

Hope that helps : )