SOLUTION: My apologies if I did not type this correctly. I am not a maths student so am unfamiliar with the correct "style". To be clear x -6 / 4 is the denominator of the whole fraction x +

Question 148886This question is from textbook
: My apologies if I did not type this correctly. I am not a maths student so am unfamiliar with the correct "style". To be clear x -6 / 4 is the denominator of the whole fraction x + 2 is the numerator.
x+2
------ = 3
x-6
-----
4
Answer:
x+2 = 3(x-6)
-----
4
x + 2 = 3x/4 - 9/2
x/4 = 13/2
x = -26
The answer is from the back of the book but I fail to understand how to get from
x + 2 = 3x/4 - 9/2
to
x/4 = 13/2
I need to understand the rule that governs this?
regards,
Tres. This question is from textbook

Found 2 solutions by nerdybill, HyperBrain:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Hi Tres,
.
Starting with:
[x+2]/[(x-6)/4] = 3
.
To remove the 4 from the denominator, we multiply the fraction on the left by 4/4 to get:
[4(x+2)]/[x-6] = 3
.
Now, to get rid of the (x-6) from the denominator, we multiply both sides by (x-6) to get:
4(x+2) = 3(x-6)
.
Now, we expand to get:
4x+8 = 3x-18
.
subtracting 3x from both sides we get:
x+8 = -18
.
finally we subtract 8 from both sides:
x = -26
.
If you can't follow the above, please write back,
Bill
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!

Multiply to both sides,

Multiply 4 to both sides,

Power up,
HyperBrain!
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