Linear Equations (Word Problems)

Three times a number plus 5 is equal to two times the number plus 10.

• 3x + 5 = 2x + 10

• 3x + 10 = 2x + 5

• 2x + 3 = 5x + 10

• 3x – 5 = 2x + 10

Twice a number increased by 7 equals 15.

• 2x + 7 = 15

• 2x – 7 = 15

• 7x + 2 = 15

• 2x + 15 = 7

The sum of a number and 9 equals 20

• x + 9 = 20

• x – 9 = 20

• 9x + 1 = 20

• 20x = 9

Five less than twice a number equals 11.

• 2x – 5 = 11

• 2x + 5 = 11

• 5x – 2 = 11

Four times a number decreased by 6 is equal to 10.

• 4x - 6 = 10

• 4x + 6 = 10

• 6x - 4 = 10

• 10x - 6 = 4

The product of 3 and a number, increased by 2, equals 14.

• 3x + 2 = 14

• 3x - 2 = 14

• 2x + 3 = 14

• 14x = 3 + 2

A number divided by 4 equals 7.

• x ÷ 4 = 7

• x ÷ 7 = 4

• 4 ÷ x = 7

• 7 ÷ x = 4

The difference between a number and 12 equals 8.

• x - 12 = 8

• 12 - x = 8

• x + 12 = 8

• 8 - x = 12

Three times the sum of a number and 4 equals 21.

• 3(x + 4) = 21

• 3x + 4 = 21

• 3(x - 4) = 21

• x + 4 = 21

Twice a number minus 3 equals 9.

• 2x - 3 = 9

• 2x + 3 = 9

• 3x - 2 = 9

• x - 3 = 9