First, you want to make all your fractions have a common denominator. Your common denominator would be 6, so multiplying each /3 fraction by 2 and each /2 fraction by 3, you get 4/6x-3/6=2/6+5/6x. You can now combine your fractions getting (4x-3)/6=(2+5x)/6. Now, reduce out the fractions to get 4x-3=2+5x, subtract 4x from both sides, -3=2+x, subtract 2 from both sides, x=-5, or answer choice A.
