Question

Solve the equation. show your work. check your answer. 3x - 7 = 5x + 19

Answer 1

`3x-7=5x+19\ \ \ |add\ 7\ to\ both\ sides\\\\3x=5x+26\ \ \ |subtract\ 5x\ from\ both\ sides\\\\-2x=26\ \ \ \ |divide\ both\ sides\ by\ (-2)\\\\\boxed{x=-13}\\\\check:\\L_s=3(-13)-7=-39-7=-46\\R_s=5(-13)+19=-65+19=-46\\L_s=R_s\ \ \ :)`

Answer 2

In this question as we can see that there is one unknown variable in the form of "x" and one equation. So it is absolutely possible to find the value of "x". Now let us concentrate on the equation given.
3x - 7 = 5x + 19
3x - 5x = 19 + 7
- 2x = 26
-x = 26/2
-x = 13
x = -13
So the value of the unknown variable "x" is -13. Hope this is the answer you were looking for and the procedure for solving the equation is clear to you.