Question

Solve the following equation

Answer 1

Answer: $\frac{- 1}{11}$

Step-by-step explanation:

Note: the "." symbol stands for multiplication

Given,

$\frac{2x+4}{3}$  - $\frac{5x-7}{2}$ = 5

First we the LCM = 6,

$\frac{2(2x+4)}{2.3}$ - $\frac{3(5x-7)}{3.2}$= 5

Then, we join both sides, since they have same denominator

$\frac{2(2x+4) - 3(5x-7)}{6}$ = 5

Multiply again

$\frac{4x+8 - 15x+21}{6}$ = 5

Add the same numbers

$\frac{-11x + 29}{6}$ = 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 = $\frac{-1}{11}$

Hope it helps! If you have any doubts, feel free to ask