Question

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

Answer 1

`= \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