EXAMPLES

1.

The solution of the equation = –2 is

Sol:

2x = – 2(3x + 2)
2x = – 6x – 4
2x + 6x = – 4
8x = – 4
x = –

2.

The value of x in is

Sol:

2x = 3(1 + x)
2x = 3 + 3x
3x – 2x = –3
x = –3

Ex 3:

If x = a – 1 find a from the equation

Sol:

Comparing the numerators
4a – 8 – 12a – 15 = 1
–8a – 23 = 1
–8a = 24
a = –3