Answer:
x = 10
Explanation:
Method 1: Algebraically
1. 4x+6 = 2(3x-7) - Multiply out the 2
2. 4x+6 = 6x-14 - make x the subject of the formula first by subtracting 4 from both sides
3. 6 = 2x-14 - add 14 to both sides
4. 20 = 2x - divide by 2 to solve for x
5. 10 = x - Answer
Method 2: Graphing
Use a graphing calculator to solve for the answer
1. set one side to y1 and the other to y2
2. set the correct window
3. press 2nd then trace
4. Select option 5 to find the intersection