Question

What is the solution to the equation 1/4x+2=-5/8x-5?

O X=-8
O X=-7
O X=7
O X=8

Answer 1

The solution to the equation
`(1)/(4)x+2=(-5)/(8)x-5` is
`\mathbf{x=-8}`

Option A is correct option.

Explanation:

What is the solution to the equation
`(1)/(4)x+2=(-5)/(8)x-5`

Solving the equation

`(1)/(4)x+2=(-5)/(8)x-5`

Subtracting 2 on both sides

`(1)/(4)x+2-2=(-5)/(8)x-5-2\\(1)/(4)x=(-5)/(8)x-7`

Adding 5/8x on both sides

`(1)/(4)x+(5)/(8)x=(-5)/(8)x-7+(5)/(8)x\\(2x+5x)/(8)=-7 \\(7x)/(8)=-7`

Multiply both sides by 8/7

`(7x)/(8)* (8)/(7)=-7 * (8)/(7)\\x=-8`

So, we get x = -8

The solution to the equation
`(1)/(4)x+2=(-5)/(8)x-5` is
`\mathbf{x=-8}`

Option A is correct option.