Question

solve for x : 3x - 2/5= 8x + 13

Answer 1

Answer:

refer to the image for solution hope it will help you

Answer 2

Question :-

Solve for x :

$\sf{3x - \dfrac{2}{5} = 8x + 13}$

Answer :-

The value of x is -2.88

Step-by-step explanation:

$\sf{ \longrightarrow \: 3x - \dfrac{2}{5} = 8x + 13}$

$\sf{ \longrightarrow \: \dfrac{5(3x) - 2}{5} = 8x + 13}$

$\sf{ \longrightarrow \: \dfrac{15x - 2}{5} = 8x + 13}$

By cross-multiplication,

$\sf{ \longrightarrow \: 15x - 2 = 5(8x + 13)}$

$\sf{ \longrightarrow \: 15x - 2 = 40x + 65}$

Transposing 15x to L.H.S,

$\sf{ \longrightarrow \: 15x - 45x - 2 = 65}$

$\sf{ \longrightarrow \: - 25x - 2 = 65}$

Transposing -2 to R.H.S,

$\sf{ \longrightarrow \: - 25x = 65 + 2}$

$\sf{ \longrightarrow \: - 25x = 67}$

$\sf{ \longrightarrow \: x = - \dfrac{67}{25} \: \: \: \: or \: \: \: \: - 2.88}$

Hence, The value of x is -2.88.