Question #ad88d

1 Answer
Jun 27, 2017

x=327

Explanation:

The first step is to multiply the 12 term through the (x6) term.

12x12(6)+14(x12)=2x

Because one half of six is three, we can rewrite it as

12x3+14(x12)=2x

Next, multiply the 14 term through the (x12) term.

12x3+14x14(12)=2x

Because one quarter of 12 is 3, we can rewrite it as

12x3+14x3=2x

You can combine the 12x and the 14x. Because

12+14=24+14=34, we can rewrite our equation as

34x33=2x

Because negative 3 minus 3 is negative six, we can rewrite

34x6=2x

Add 6 to both sides

34x=8x

Add x to both sides

34x+x=8

Because x is really just 1×x, we can rewrite as

34x+1×x=8

34x+44x=8

74x=8

Multiply both sides by 4

7x=32

Divide both sides by 7

x=327