# 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 +

Algebra ->  Algebra  -> Equations -> 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 +      Log On

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 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(6959)   (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!