When the equation a – bx = cx + d is solved for x, the result is x = .

use the general solution to solve 5 – 6x = 8x + 17.

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.

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5x+10 is the correct one

hope this