Respuesta :

Gyeong

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