Question

4(2n-5)=3n+10
n=??????

Answer 1

n=6

Explanation:

Original equation: 4(2n-5)=3n+10

Step 1 (Distribute the 4):

4(2n)-4(5)=3n+10

8n-20=3n+10

Step 2 (Subtract 3n from both sides):

8n-20-3n=3n+10-3n

(8n-3n)-20=(3n-3n)+10

5n-20=10

Step 3 (Add 20 to both sides):

5n-20+20=10+20

5n=30

Step 4 (Divide both sides by 5):

5n/5=30/5

n=6

Answer 2

n = 6

Explanation:

Distribute 4 in 2n - 5:

`\displaystyle{4\cdot 2n - 4\cdot 5 = 3n + 10}\\\\\displaystyle{8n-20=3n+10}`

Subtract both sides by 3n:

`\displaystyle{8n-20-3n=3n+10-3n}\\\\\displaystyle{5n-20=10}`

Add both sides by 20:

`\displaystyle{5n-20+20=10+20}\\\\\displaystyle{5n=30}`

Divide both sides by 5:

`\displaystyle{(5n)/(5)=(30)/(5)}\\\\\displaystyle{n=6}`

Therefore, n = 6