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=4724(8x+3)−7(5x−7)=56.

We can simplify the left-hand side to 4(8x+3)−7(5x−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+61−61−3x−3−3xx=56−61=−5=−3−5=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=3777−22223=37−31=37−1=36=2=RHS.