Hey there!
4(-x + 4) = 12
4(-x) + 4(4) = 12
-4x + 16 = 12
SUBTRACT 16 to BOTH SIDES
-4x + 16 - 16 = 12 - 16
CANCEL out: 16 - 16 because it gives you 0
KEEP: 12 - 16 because it helps solve for the x-value
NEW (temporary) EQUATION: -4x = 12 - 16
12 - 16 = -4
NEW EQUATION: -4x = -4
DIVIDE -4 to BOTH SIDES
-4x/-4 = -4/-4
CANCEL out: -4/-4 (the LEFT side) because that gives you 1
KEEP: -4/-4 (the RIGHT side) because it gives you the result of the x-value
x = -4/-4
x = 1
Therefore, your answer is: x = 1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)