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An example of an equation is X = Y. The letters “X” and “Y” are often referred to as “expressions” and are joined together using the equal “=” sign. The expression on both sides of the equal sign will have the same value. Sometimes an expression may contain a variable. Let’s look at the following equations.

1.

7X - 8 = 132

21

140

56

20

2.

27X + 44 = 341

21

11

31

33

27X + 44 - 44 = 341 - 44

27X + 44 - 44 = 27X

341 - 44 = 297

27X = 297

297 ÷ 27 = 11

11 x 27 = 297

X = 11

27X + 44 - 44 = 27X

341 - 44 = 297

27X = 297

297 ÷ 27 = 11

11 x 27 = 297

X = 11

3.

99X - 196 = 200

44

114

14

4

99X - 196 + 196 = 200 + 196

99X - 196 + 196 = 99X

200 + 196 = 396

99X = 396

396 ÷ 99 = 4

4 x 99 = 396

X = 4

99X - 196 + 196 = 99X

200 + 196 = 396

99X = 396

396 ÷ 99 = 4

4 x 99 = 396

X = 4

4.

14X - 98 = 98

4

24

44

14

14X - 98 + 98 = 98 + 98

14X - 98 + 98 = 14X

98 + 98 = 196

14X = 196

196 ÷ 14 = 14

14 x 14 = 196

X = 14

14X - 98 + 98 = 14X

98 + 98 = 196

14X = 196

196 ÷ 14 = 14

14 x 14 = 196

X = 14

5.

19X - 51 = 63

4

5

6

7

19X - 51 + 51 = 63 + 51

19X - 51 + 51 = 19X

63 + 51 = 114

19X = 114

114 ÷ 19 = 6

6 x 19 = 114

X = 6

19X - 51 + 51 = 19X

63 + 51 = 114

19X = 114

114 ÷ 19 = 6

6 x 19 = 114

X = 6

6.

22X + 88 = 660

6

16

26

36

22X + 88 - 88 = 660 - 88

22X + 88 - 88 = 22X

660 - 88 = 572

22X = 572

572 ÷ 22 = 26

26 x 22 = 572

X = 26

22X + 88 - 88 = 22X

660 - 88 = 572

22X = 572

572 ÷ 22 = 26

26 x 22 = 572

X = 26

7.

32X + 91 = 283

6

16

26

36

32X + 91 - 91 = 283 - 91

32X + 91 - 91 = 32X

283 - 91 = 192

32X = 192

192 ÷ 32 = 6

6 x 32 = 192

X = 6

32X + 91 - 91 = 32X

283 - 91 = 192

32X = 192

192 ÷ 32 = 6

6 x 32 = 192

X = 6

8.

3X - 5 = 25

15

10

5

8

3X - 5 + 5 = 25 + 5

3X - 5 + 5 = 3X

25 + 5 = 30

3X = 30

30 ÷ 3 = 10

10 x 3 = 30

X = 10

3X - 5 + 5 = 3X

25 + 5 = 30

3X = 30

30 ÷ 3 = 10

10 x 3 = 30

X = 10

9.

12X + 16 = 244

28

19

26

13

12X + 16 - 16 = 244 - 16

12X + 16 - 16 = 12X

244 - 16 = 228

12X = 228

228 ÷ 12 = 19

19 x 12 = 228

X = 19

12X + 16 - 16 = 12X

244 - 16 = 228

12X = 228

228 ÷ 12 = 19

19 x 12 = 228

X = 19

10.

6X + 15 = 153

23

33

13

43

6X + 15 - 15 = 153 - 15

6X + 15 - 15 = 6X

153 - 15 = 138

6X = 138

138 ÷ 6 = 23

23 x 6 = 138

X = 23

6X + 15 - 15 = 6X

153 - 15 = 138

6X = 138

138 ÷ 6 = 23

23 x 6 = 138

X = 23

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7X - 8 + 8 = 7X

132 + 8 = 140

7X = 140

140 ÷ 7 = 20

20 x 7 = 140

X = 20