Question

If 2x-3y+5-(x-3y)=11-2x, what is the value of x?

Answer 1

`x=2`

Explanation:

`2x-3y+5-\left(x-3y\right)=11-2x`

Remove brackets and flip the sign in the brackets:

`2x-3y+5-x+3y=11-2x`

Group the similar terms together:

`-3y+3y+2x-x+5=11-2x`

Add/subtract the terms:

`x+5=11-2x`

Subtract 5 from both sides:

`x+5-5=11-2x-5`

`x=-2x+6`

Add 2x to both sides:

`x+2x=-2x+6+2x`

`3x=6`

Divide both sides by 3:

`(3x)/(3)=(6)/(3)`

`x=2`