Processing Math: Done

From Förberedande kurs i matematik 1

First, we multiply both sides in the equation by 47=28, so that we get rid of the denominators in the equation,

4778x+3−4745x−7=47248x+3−75x−7=56

We can simplify the left-hand side to ,

48x+3−75x−7=32x+12−35x+49=−3x+61 

Hence, the equation is

−3x+61=56

We solve this equation by subtracting 61 from both sides and then dividing by −3,

−3x+61−61=56−61−3x=−5−3−3x=−3−5x=35

The answer is x=53.

As the final part of the solution, check the answer by substituting x=53 into the original equation

LHS=7835+3−4535−7=73835+33−43535−73=7385+33−4355−73=2140+9−1225−21=2149−412=3777−22222=37−31=37−1=36=2=RHS