You could solve it with these two steps:
#1). Subtract 6 from each side of the equation.
and then
#2). Divide each side by 7.
If you'll do that, the solution will be right there on the paper in front of you.
It'll begin with "x =", and right after that will be the value of 'x'.
How to find the x intercept of 3y=2x-6: (when y is 0)
3(0) = 2x - 6
0 = 2x - 6
+6 + 6
-------------------------
6 = 2x
------ -----
2 2
x = 3
How to find the y intercept of 3y=2x-6: (when x is 0)
3y = 2(0) - 6
y = 0 - 6
3y = -6
------ -----
3 3
y = -2
Tell me if you have any questions or you need a step by step explanation
The first one and the last one, the 2 middle ones are not corresponding