2/3x - 4 = 10 // original equation
2/3x - 4 = 14 // add 4 to each side to get this
(3/2)(2/3)x = 14 (3/2) // to isolate x, you'll need to multiply x's coefficient (2/3) times its reciprical (3/2). In other words, multiply both sides times 3/2.
x = 42/2 // 14 times 3/2 equals 42/2, or 21.
x = 21
That's your answer.
Follow the order of operations (PEMDAS) in reverse order. Adding and subtraction first, then division and multiplication, then exponents, then everything enclosed in parentheses and brackets.
nonl33t, what you did wrong is when you tried to multiply 3/2 times both sides. You multiplied the side on the right times 3 and left the denominator (2) on the left. What you should have done is turned the 2/3 upside-down so that you could multiply it by both sides (2/3 cancels out with 3/2, leaving x by itself)