First write it to equal 0,
(65x-12) + (43x + 10) = 0
Now you want all the x’s to be on one side and the constants on the other. So move one of them by doing the opposite. I will be moving the constants over
65x + 43x = -10 + 12
(subtract 10 add add 12 because they're opposite factors)
Now you can add like terms (65x + 43x) and -10 and 12
108 = 2
Now be because 108 is essentially a multiplication, you need to divide by 108 so it will just equal x
X = 2/108
And like any fraction you can simplify it to
X = 1/54