Solve for x in simplest form.

5, equals, start fraction, 2, divided by, 3, end fraction, left bracket, 8, x, minus, 6, right bracket
5=
3
2

(8x−6)

1 answer

First, multiply both sides by 3 to get rid of the fraction:
5 = 2/(8x - 6) * 3

Now, simplify:
5 = 6 / (8x - 6)

Multiply both sides by (8x - 6) to get rid of the fraction:
5(8x - 6) = 6

Expand and solve for x:
40x - 30 = 6
40x = 36
x = 36 / 40
x = 9 / 10

So, x = 9/10.