Question

How do you solve `1-(2x)/7=(x+6)/3`?

Answer 1

`x = -21/13`

Explanation:

As it is an equation with fractions, we can get rid of the denominators by multiplying by the LCD which is `21`

`color(white)(xxxxxxxxx)1-(2x)/7=(x+6)/3`

`color(blue)(21xx)1-color(blue)(cancel21^3/1xx)(2x)/cancel7=color(blue)(cancel21^7/1xx)((x+6))/cancel3`

`color(white)(xxxxxxxxx)21-6x = 7x+42`

`color(white)(xxxxxxxxx)21-42 = 7x +6x`

`color(white)(xxxxxxxxxx)-21 = 13x`

`color(white)(xxxx.xxxxx)-21/13 = x`