Answer
$-4$
Work Step by Step
Given equation is-
$x-4$ = $5x+12$
Algebraic Solution:
Isolating $x$ on one side of the equation-
$5x-x$ = $-4-12$
i.e. $4x$ = $-16$
i.e. $x$ = $\frac{-16}{4}$
i.e. $x$ = $-4$ is the required solution
Graphical Solution:
On rearranging the given equation-
$5x-x+4+12$ = $0$
i.e. $4x+16$ = $0$
Now graphing $y$ = $4x+16$
We see that graph intercept $x-axis$ at $-4$
Thus from the graph we conclude that the solution is $x$ = $-4$
