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

x = -8

Explanation:

1/4x+2=-5/8x-5

Add 5/8 x to each side

1/4x + 5/8 x+2=-5/8x + 5/8x-5

1/4x + 5/8x +2 = -5

Subtract 2 from each side

1/4x + 5/8x +2-2 = -5-2

1/4x + 5/8x = -7

Get a common denominator of 8

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7 * 7/8x = -7*8/7

x = -8