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

x=-8

Step-by-step explanation:

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

find l. c. m=8

multiply through by l. c. m which is 8

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

2x+16=-5x-40

2x+5x=-40-16

7x=-56

divide both sides by 7

7x/7=-56/7

x=-8

x = - 8

Step-by-step explanation:

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

Add 5/8x to each side

1/4x + 5/8x + 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

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

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

7/8x = - 7

Multiply each side by 8/7

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

x = - 8