Answer:
Sure, here are the steps on how to simplify 2/3 (3x -2) – ¾ (2x -2):
Multiply the factors in the numerator and denominator of each fraction.
2/3 (3x -2) = (2)(3x -2) / (3)(3) = 6x - 4 / 9
¾ (2x -2) = (3/4)(2x -2) / (3) = 3x - 6 / 12
Subtract the numerators of the two expressions.
6x - 4 / 9 - 3x - 6 / 12 = (6x - 4 - 3x - 6) / (9 * 12) = 3x - 10 / 108
Simplify the fraction by dividing the numerator and denominator by 3.
3x - 10 / 108 = (3x - 10) / (3 * 36) = x - 10 / 36
Therefore, the simplified expression is x - 10 / 36.
Explanation: