Hey there!
5(x - 3) - 3x = 8x - 15 - 6x
DISTRIBUTE 5 WITHIN the PARENTHESES
5(x) + 5(-3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 8x - 15 - 6x
COMBINE the LIKE TERMS
2x - 15 = 2x - 15
SUBTRACT 2x to BOTH SIDES
2x - 13 - 2x = 2x - 15 - 2x
SIMPLIFY IT!
NEW EQUATION: -15 = -15
ADD 15 to BOTH SIDES
-15 + 15 = -15 + 15
SIMPLIFY IT!
0 = 0
Therefore, your answer is:
Option D. INFINITELY MANY SOLUTIONS
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)