Question

Solve: 5x + `7/2 = 3/2x` - 14

Answer 1

5x + `7/2 = 3/2x` - 14

Multiply both sides of the equation by 2. We get

`2 xx (5x + 7/2) = 2 xx (3/2x - 14)`

`(2 xx 5x) + (2 xx 7/2) = (2 xx 3/2x) - (2 xx 14)`

or 10x + 7 = 3x - 28

or 10x - 3x + 7 = -28   .....(transposing 3x to LHS)

or 7x + 7 = -28

or 7x = -28 - 7

or 7x = -35

or `x = (-35)/7`

or x = -5.