Question

Solve for x :-
$\sf 5x-14=8x+4$

Answer 1

Step-by-step explanation:

$5x-14=8x+4$

$\longrightarrow \: 8x - 5x = - 14 - 4$

$\longrightarrow \: 3x = - 18$

$\longrightarrow \: x = \frac{ - 18}{3}$

$\longrightarrow \fcolorbox{red}{yellow}{x = - 6}$

to prove that the x = -6

putting the value of x

$5x-14=8x+4$

$\longrightarrow \: 5 \times - 6 - 14 = 8 \times - 6 + 4 \\ \longrightarrow - 30 - 14 = - 48 + 4 \\ \longrightarrow - 44 = - 44$

$\longrightarrow \fcolorbox{red}{green}{LHS=RHS}$

hence its proved

Answer 2

Answer:

$x=-6$

Step-by-step explanation:

$5x-14=8x+4$

$\mathrm{Add\:}14\mathrm{\:to\:both\:sides}$

$5x-14+14=8x+4+14$

$=5x=8x+18$

$\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}$

$5x-8x=8x+18-8x$

$=-3x=18$

$\mathrm{Divide\:both\:sides\:by\:}-3$

$\frac{-3x}{-3}=\frac{18}{-3}$

$=\frac{18}{-3}$

$x=-6$