Question

What are the solutions of 3x+5=2x-7

Answer 1

$3x+5=2x-7$                                          equation

$x+5=-7$                                                 Subtract 2x from both sides

$x=-12$                                                   Subtract 5 from both sides



$3(-12)+5=2(-12)-7$                              Plug in for X

$-36+5=-24-7$                                       Distribute 3 and 2 into -12

$-31=-31$                                               simplified by + and -

Answer 2

So you need to isolate the variable in order to get your answer. This is how you do it.

3x + 5 = 2x - 7
Subtract 2x from both sides.
1x + 5 = -7
Subtract 5 from both sides to have the variable by itself.
1x = -12
Divide 1 to both sides to find the value of x.
x = -12

Now we need to check.
3(-12) + 5 = 2(-12) - 7
-36 + 5 = -24 - 7
-31 = -31
Since both sides or the same you now know that -12 is the solution.
I hope this helps love! :)