Respuesta :
SOLUTION:
=) 1/4x + 5/8x = -5 -2
=) (2+5)/8x = -7
=) 7/8x = -7
=) x = (-7×8)/7
=) x = -56/7
=) x = -8
The solution to the given fraction equation is; x = -8
How to solve addition of fractions?
We want to find the solution to the problem;
¹/₄x + 2 = -⁵/₈x - 5
Rearrange the equation to get;
¹/₄x + ⁵/₈x = -2 - 5
Factorize to get;
¹/₈(2x + 5x) = -7
¹/₈(7x) = -7
Divide both sides by 7 to get
¹/₈x = -1
Multiply both sides by 8 to get;
x = -8
Read more on addition of fractions at; https://brainly.com/question/11562149