Answer:
x = -8
Step-by-step 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