Question 510926
10x-22=29-7x
Generally we want it on the left, but it is not necessary, sometimes it's easier to select the side which will make x positive (the final solution, x has to be positive)
:
add 7x to both sides, that gets rid of x on the right side
10x + 7x - 22 = 29 -7x +7x
17x - 22 = 29
:
add 22 to both sides, that gets the numbers on the right side
17x - 22 + 22 = 29 + 22
17x = 51
;
Divide both sides by 17 to get 1x
x = {{{51/17}}}
x = 3
:
:
See if this works out in the original equation, replace x with 3
10(3) - 22 = 29 - 7(3)
30 - 22 = 29 - 21
8 = 8; equality reigns, x=3 is correct!