What is the solution to the equation 1/4x+2=-5/8x-5
Mathematics · Middle School · Thu Jan 21 2021
Answered on
Given:
¼x + 2 = -5/8x - 5
Determine the solution:
In order to solve the solution of the given equation, we simply need to solve for x. To do so,transpose -5/8 and 2 on their opposite side of the equations, whereas we must take note that in transposing a number, the sign changes.
¼x + 2 = -5/8x - 5
¼x + 5/8x = -5 -2
¼ can be written as 2/8 in order to compute the equation easily.
2/8x + 5/8x = -7
7/8x = -7
Multiply both sides by 8/7 which is the reciprocal of 7/8 in order to cancel out 7/8x and determine the value of x.
7/8x (8/7) = -7 (8/7)
x = -8
Final answer:
x = -8