Answer: [tex]\frac{- 1}{11}[/tex]
Step-by-step explanation:
Note: the "." symbol stands for multiplication
Given,
[tex]\frac{2x+4}{3} \\[/tex] - [tex]\frac{5x-7}{2}[/tex] = 5
First we the LCM = 6,
[tex]\frac{2(2x+4)}{2.3}[/tex] - [tex]\frac{3(5x-7)}{3.2}[/tex]= 5
Then, we join both sides, since they have same denominator
[tex]\frac{2(2x+4) - 3(5x-7)}{6}[/tex] = 5
Multiply again
[tex]\frac{4x+8 - 15x+21}{6}[/tex] = 5
Add the same numbers
[tex]\frac{-11x + 29}{6}[/tex] = 5
Transpose 6 to the other side
-11x + 29 = 5.6
-11x + 29 = 30
Transpose 29 to the other side
-11x = 30 -29
-11x = 1
Transpose 11 to the other side to get answer
x = [tex]\frac{-1}{11}[/tex]
Hope it helps! If you have any doubts, feel free to ask
