Expand and simplify the following equation: 6(x-3) - 4(x-5) = 0

Start off by dealing with the brackets by expanding. The brackets around a part of the equation imply that the entire content of the brackets will be affected by the factor outside of the brackets, in this case multiplied by 6 for the first bracket, and multiplied by -4 for the second. The first bracket gives us "6x - 18" and the second, "-4x+20". Since we included the subtraction sign in the factor which was affecting our bracket, we can just join the two sets of terms together in one expression; "6x-18-4x+20". Simplify and form a final expression. Rearrange the terms so the "x"s are together and the integers are together also, 6x-4x+20-18 = 2x + 2 (END ANSWER)