Question

How do you solve `\frac { x + 6} { 2} = 5- \frac { x + 5} { 5}`?

Answer 1

`x=10/7`

Explanation:

Start by multiplying both sides of the equation by 2:

`2xx(x+6)/2=2xx5-2xx(x+5)/5`
`x+6=10-(2(x+5))/5`

Next multiply both sides of the equation by 5:

`5xx(x+6)=5xx10-5xx(2(x+5))/5`
`5(x+6)=50-2(x+5)`

Expand the brackets:

`5x+30=50-2x-10`

Add `2x` to both sides of the equation:

`5x+2x+30=50-2x+2x-10`

`7x+30=50-10`

Subtract `30` from both sides of the equation:

`7x+30-30=50-10-30`

`7x=10`

Divide both sides by 7:

`x=10/7`