Question

Solve 2x-3/5=x+6 ASAP

Answer 1

Problem 1:
`(2x-3)/(5)=x+6` gives x=-11

Problem 2:
`2x-(3)/(5)=x+6` gives x=33/5

Explanation:

I will do it both ways:

Problem 1:

`(2x-3)/(5)=x+6`

I don't like the fraction so I'm going to clear by multiplying both sides by 5:

`2x-3=5(x+6)`

Distribute:

`2x-3=5x+30`

Subtract 2x on both sides:

`-3=3x+30`

Subtract 30 on both sides:

`-33=3x`

Divide both sides by 3:

`-11=x`

Problem 2:

`2x-(3)/(5)=x+6`

Clear the fraction by multiplying both sides by 5:

`5(2x-(3)/(5))=5(x+6)`

Distribute:

`10x-3=5x+30`

Subtract 5x on both sides:

`5x-3=30`

Add 3 on both sides:

`5x=33`

Divide both sides by 5:

`x=(33)/(5)`

Answer 2

For this case we must solve the following equation:

`\frac {2x-3} {5} = x + 6`

Multiplying by 5 on both sides we have:

`2x-3 = 5 (x + 6)\\2x-3 = 5x + 30`

We add 3 to both sides of the equation:

`2x = 5x + 30 + 3\\2x = 5x + 33`

Subtracting 5x on both sides:

`2x-5x = 33\\-3x = 33`

Dividing between -3 on both sides:

`x = \frac {33} {- 3}\\x = -11`

Answer:

-11