8x+12=-3x+3+31 show algebraic work plz

Question

asked Mar 24, 2022 217k views

1 Answer

Lionel Chan · Answer 1 · 2022-03-30T17:51:50+0000

$= \tt8x + 12 = -3x + 3 + 31$

$=\tt 8x + 12 + 3x = 3 + 31$

$= \tt11x + 12 = 34$

$= \tt11x = 34 - 12$

$= \tt11x = 22$

$=\tt x = (22)/(11)$

$\hookrightarrow\color{plum}\tt x = 2$

Thus, the value of x = 2

Let us check whether or not we have found out the correct value of x, by placing 2 in the place of x :

$=\tt 8 * 2 + 12 = - 3 * 2 + 3 + 31$

$= \tt16 + 12 = - 6 + 34$

$= \tt28 = 28$

Since the Left Hand Side and the Right Hand Side of the equation are equivalent, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of x = 2