Answer:
x=1
Explanation:
Algebraically
1. Move all variables to one side.
-2x+6=5x-1
+2x +2x
6=7x-1
2. Move constants to the opposite side of the variables.
6=7x-1
+1 +1
7=7x
3. Cancel out the coeffients of variables.
7=7x
/7 /7
1=x
Graphically
1. Establish your equations to graph.
-2x+6=5x-1 means y=-2x+6 and y=5x-1
2. Make a table. (I suggest getting some points around the origin like -2, -1, 0, 1, 2 just to get a feel for what directions each graph is going)
x y=-2x+6 y x y=5x-1 y
-2 -2(-2)+6 10 -2 5(-2)-1 -11
-1 -2(-1)+6 8 -1 5(-1)-1 -6
0 -2(0)+6 6 0 5(0)-1 -1
1 -2(1)+6 4 1 5(1)-1 4
2 -2(2)+6 2 2 5(2)-1 9
3. Plot your points and connect them with their respective equation.
4. Find the intersection.
The point at which the lines cross is where the answer for x is. Note in the graph it will be at (1,4) where 1 is the x-value in question.