Answer:
1) 2x = x + 3 x = 3 Check: 6 = 6
2) 3x = x + 4 x = 2 Check: 6 = 6
3) x + 4 = 2x + 3 x = 1 Check: 5 = 5
4) 4x = 2x + 6 x = 3 Check: 12 = 12
Explanations:
2) 3x = x + 4
Collect like terms
3x - x = 4
2x = 4
Divide both sides by 2
2x/2 = 4/2
x = 2
Check: 3(2) = 2 + 4
6 = 6
3) x + 4 = 2x + 3
Collect like terms
2x - x = 4 - 3
x = 1
Check: 1 + 4 = 2(1) + 3
5 = 5
4) 4x = 2x + 6
Collect like terms
4x - 2x = 6
2x = 6
2x/2 = 6/2
x = 3
Check: 4(3) = 2(3) + 6
12 = 6 + 6
12 = 12