The correct answer is:
x=6/7.
Explanation:
First we find the general form by solving for x:
a-bx = cx+d
Subtract a from each side:
a-bx-a = cx+d-a
-bx = cx+d-a
Subtract cx from each side:
-bx-cx = cx+d-a
-bx-cx = d-a
We can divide both sides by -1:
(-bx-cx)/-1 = (d-a)/-1
bx+cx = -d+a
bx+cx = a-d
Factor out an x on the left:
x(b+c) = a-d
Divide both sides by (b+c):
(x(b+c))/(b+c) = (a-d)/(b+c)
x = (a-d)/(b+c)
In this equation, a = 5, b = 6, c = 8 and d = 17:
x = (5-17)/(6+8) = -12/14
This simplifies to -6/7.
The value of x in the equation a – bx = cx + d is = a - d / c + b
The value of x in the equation 5 – 6x = 8x + 17 is - 6 / 7
a - bx = cx + d
add bx to both sides of the equation
a - bx + bx = cx + bx + d
a = cx + bx + d
subtract d form both sides of the equation
a - d = cx + bx + d - d
a - d = cx + bx
using distributive law on the right side of the equation
a - d = x (c + b)
divide both sides by (c + b)
Therefore,
x = a - d / c + b
Let's use the same method to solve 5 – 6x = 8x + 17
5 – 6x = 8x + 17
add 6x to both sides
5 – 6x + 6x= 8x + 6x + 17
5 = 14x + 17
subtract 17 from both sides
5 - 17 = 14x + 17 - 17
-12 = 14x
divide both sides by 14
x = -12 / 14
x = - 6 / 7
learn more on equations here: https://brainly.com/question/7838122
