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

1 Answer
Feb 24, 2017

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