Lösung 2.2:2b
Aus Online Mathematik Brückenkurs 1
First, we multiply both sides in the equation by \displaystyle 4\cdot 7=28, so that we get rid of the denominators in the equation,
We can simplify the left-hand side to \displaystyle 4\cdot (8x+3) - 7\cdot (5x-7) = 32x+12-35x+49 = -3x+61\,. Hence, the equation is
We solve this equation by subtracting 61 from both sides and then dividing by -3,
The answer is \displaystyle x={5}/{3}\,.
As the final part of the solution, check the answer by substituting \displaystyle x={5}/{3} into the original equation
