Solving more complex equations
Solve the following equations for the variable given:
1. 3x/2 – 4 = 5
3x – 8 = 10
3x = 18
x=6
2. x – 3/2 = 5x/2
2x – 3 = 5x
3x = -3
x = -1
3. 5x/3 – 4x = 1/6
(5x – 12 x)/3 = 1/6 (common denominator)
-7x = 1/2, x = -1/14
4. 0.2 x – 3 = 0.5
0.2x = 3.5
x = 35/2 = 17.5
5. ½ ( 3x – 4) = 7
3x-4 = 14 (multiply both sides by 2)
3x = 18, x = 6
6. ¼ (2x – 4) = ½ (5x + 2)
2x – 4 = 10x + 4 (multiply both sides by 4)
8x = -8
x=-1
7. 3(4 – 2x) = 5x + 2
12 – 6x = 5x + 2
11x = 10
x=10/11
8. 0.3 ( 2x + 2) = 0.5 + 3x
6x + 6 = 5 + 30x (multiply both sides by 10)
24x = 1
x = 1/24
9. 0.5(0.3x – 0.5) = 4
5(0.3x – 0.5) = 40 (multiply both sides by 10
1.5x – 2.5 = 40, 1.5x = 42.5
x = 425/15 = 85/3
10. 0.24(2x – 5) = ¼ ( 5x + 3)
0.48x – 1.20 = 1.25x + 0.75
0.77x = -1.95
x = -1.95/0.77 = -195/77