Question

2 (x - 3) + 3 (x + 1) = 5 (2x - 1) (answer should be 2/5)​

Answer 1

2(x - 3) + 3(x + 1) = 5(2x - 1)

2x - 6 + 3x + 3 = 10x - 5

5x - 3 = 10x - 5

10x - 5x = -3 +5

5x = 2

x = 2/5

Answer 2

$\maltese\LARGE\textsf{\underline{ SoLuTioN :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{2 ( x - 3 ) + 3 ( x + 1 ) = 5 ( 2x - 1 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{2x - 6 + 3x + 3 = 10x - 5}$

$\qquad\tt{:}\longrightarrow\large\textsf{2x + 3x - 10x = - 5 + 6 - 3}$

$\qquad\tt{:}\longrightarrow\large\textsf{- 5x = - 2}$

$\qquad\tt{:}\longrightarrow\large\sf \: x \: \: \: = \: \: \: \cfrac{ - 2}{ - 5} \\ \\ \: \qquad\tt{:}\longrightarrow\boxed{\large\sf \color{red}\: x \: \: \: = \: \: \: \cfrac{2}{5}}$

$\large\textsf{ }$

$\maltese\LARGE\textsf{\underline{ AlGeBrAiC \;fOrMuLaS :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( a + b )² = a² + b² + 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a - b )² = a² + b² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² - b² = ( a + b ) ( a - b )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² + b² = ( a + b )² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ + b³ = ( a + b ) ( a² - 2ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ - b³ = ( a - b ) ( a² + ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac }$