Hey there!
3(4 - 5x) = 3(4x + 3)
3(4) + 3(-5x) = 3(4x) + 3(3)
12 - 15x = 12x + 9
-15x + 12 = 12x + 9
SUBTRACT 12x to BOTH SIDES
-15x + 12 - 12x = 12x + 9 - 12
SIMPLIFY IT!
-27x + 12 = 9
SUBTRACT 12 to BOTH SIDES
-27x + 12 - 12 = 9 - 12
CANCEL out: 12 - 12 because it gives you 0
KEEP: 9 - 12 because it helps solve for the x-value
NEW EQUATION: -27x = 9 - 12
SIMPLIFY IT!
-27x = -3
DIVIDE -27 to BOTH SIDES
-27x/-27 = -3/-27
CANCEL -27/-27 because that gives you 1
KEEP: -3/-27 because it helps solve for the x -value
NEW EQUATION: x = -3/-27
SIMPLIFY IT/REDUCE the FRACTION!
x = 1/9
Therefore, your answer is: x = 1/9
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)