Question

How to solve Simplify (4x - 5) - (3x - 10).

Answer 1

`x+5`

Explanation:

`\left(4x-5\right)-\left(3x-10\right)`

`\mathrm{Apply\:rule}:\quad \left(a\right)=a`

`\left(4x-5\right)=4x-5`

`=4x-5-\left(3x-10\right)`

`\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b`

`-\left(3x-10\right)=-3x+10`

`=4x-5-3x+10`

`\mathrm{Group\:like\:terms}`

`=4x-3x-5+10`

`\mathrm{Add\:the\:numbers:}\:-5+10=5`

`=4x-3x+5`

`\mathrm{Add\:similar\:elements:}\:4x-3x=x`

`=x+5`