Hey there!
4x - 3/2 = 5/3
ADD 3/2 to BOTH SIDES
4x - 3/2 + 3/2 = 5/3 + 3/2
CANCEL out: -3/2 + 3/2 because it gives you 1
KEEP: 5/3 + 3/2 because it helps solve for the x-value.
NEW EQUATION: 4x = 5/3 + 3/2
SIMPLIFY IT!
4x = 19/6
DIVIDE 4 to BOTH SIDES
4x ÷ 4 = 19/6 ÷ 4
CANCEL out: 4 ÷ 4 because it gives you 1
KEEP: 19/6 ÷ 4 because it helps solve for the x-value
NEW EQUATION: x = 19/6 ÷ 4
SIMPLIFY IT!
x = 19/24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)