How to solve the inequality 1 - 2(x - 3) > 4x

Firstly you should expand the brackets in this situation in order to collect the like terms, so get all the x's on one side and all the constants on the other side of the inequality. Expanding the bracket you get 1 - 2x + 6 > 4x. Now we try to collect the like terms so firstly I will add 2x to both sides to get 1 + 6 > 4x + 2x. Then we can simplify to get 7 > 6x. Finally to get x on it's own we divide through by 6 to get the final answer of x < 7/6. Note that if the 6 was negative then you would have to flip the sign of the inequality if you divided through by the -6.