Question

1. 3x + 7 + =34
2. 24-5x=40+2x
3.5x+26 = 2x + 26
4. 45 -7x = 75 -3x
5.5x+4>3x+30
6.25-7x>34-3x
7.2(x+3)>34-3x

Answer 1

1. 3x + 7 = 34
⇔3x = 34 - 7
⇔3x = 27
⇔x = 27 ÷ 3
⇔x = 9
2. 24 - 5x = 40 + 2x
⇔ 24 - 40 = 2x + 5x
⇔ -16 = 7x
⇔ x = 16 ÷ 7
⇔ x = 2,3
3. 5x + 26 = 2x + 26
⇔ 5x - 2x = 26 - 26
⇔ 3x = 0
⇔ x = 0
4. 45 - 7x = 75 - 3x
⇔ 45 - 75 = 7x - 3x
⇔ -30 = 4x
⇔ x = 7,5
5. 5x + 4 > 3x + 30
⇔ 5x - 3x > 30 - 4
⇔ 2x > 26
⇔ x = 13
6. 25 - 7x > 34 - 3x
⇔ 25 - 34 > 7x - 3x
⇔ -9 > 4x
⇔ x > 2,25
7. 2 (x + 3) > 34 - 3x
⇔ 2x + 6 > 34 - 3x
⇔ 2x + 3x > 34 - 6
⇔ 5x > 28
⇔x > 5,6