Question

Please help me with this quickly, make it simple and easy

Answer 1

`(1)/(10)(x+8)-(1)/(15)(x-5)=1`

Multiply both sides by 30:

`\begin{gathered} 30((1)/(10)(x+8)-(1)/(15)(x-5))=30 \\ (30)/(10)(x+8)-(30)/(15)(x-5)=30 \\ 3(x+8)-2(x-5)=30 \end{gathered}`

Expand the left hand side using distributive property:

`3x+24-2x+10=30`

Add like terms:

`x+34=30`

Subtract 34 from both sides:

`\begin{gathered} x+34-34=30-34 \\ x=-4 \end{gathered}`

Answer:

x = -4