Linear Equations – Practice Set 2

4(x + 3) – 2(x – 5) = 3x + 9
5(x – 4) + 3(x + 2) = 4x + 10
2(3x – 4) + 7 = 4x + 15
6x – 5(2x – 3) = 12
8(x + 2) – 3(4x – 1) = 9
7x + 8 = 3x + 28
5(x – 3) – 2(x – 7) = 9
9(x – 1) – 2(x + 4) = 24
3(x – 2) + 2(x + 5) = 21
(x / 2) + (x / 4) = 18
(3x + 2) / 5 = (2x + 7) / 3
(x + 4) / 6 + (x – 2) / 4 = 5
(2x – 1) / 3 + (x + 5) / 2 = 11
(3x – 5) / 4 = (x + 1) / 2 + 3
(x + 7) / 3 – (x – 5) / 6 = 8
(5x + 3) / 7 = (3x – 1) / 5 + 2
(x / 3) + (x / 5) + 4 = 14
(2x – 7) / 8 = (x + 1) / 4
(x / 6) + 5 = (x / 3) + 1
(4x + 3) / 2 – (2x – 7) / 3 = 11

When a number is tripled and 7 is added, the result equals twice the number plus 14.
If 5 is subtracted from three-fourths of a number, the result is 10.
The sum of a number and its one-third equals 64.
Four more than twice a number equals 5 less than thrice the number.
The sum of three times a number and its half equals 45.
When 8 is subtracted from twice a number, the result is equal to the number plus 12.
A number decreased by 9 and divided by 5 equals 6.
The sum of one-fourth and one-fifth of a number is 9.
When a number is added to its two-thirds, the result is 50.
Twice a number increased by 8 equals 3 times the number minus 4.
The difference between three times a number and 7 equals one-half of the number plus 11.
When 15 is added to one-fourth of a number, the result equals half the number.
If a number is multiplied by 3 and then 8 is added, the result equals 20 more than the number itself.
One-third of a number is 5 less than half the same number.
When 12 is added to a number and the result is divided by 5, the quotient is 10.
Three-fifths of a number added to 9 gives the same result as twice the number minus 12.
If 10 is subtracted from 7 times a number, the result is 32.
The sum of a number, its half, and its one-fourth equals 42.
A number minus its one-third equals 36.
Two more than five times a number equals twice the number plus 29.

41.The perimeter of a rectangle is 44 units. Its length is 2 times its width plus 2. Find the width w.