Solve the following:

(i) x + 3 = 11 (ii) y - 9 = 21

(iii) 10 = z + 3 (iv)

(v) 10x = 30 (v) 10x = 30

(vi) (vii)

(viii) (ix) 8x – 8 = 48

(x) (xi)

(xii) (xiii) 3(x + 6) = 24

(xiv) (xv) 3(x + 2) – 2(x – 1) = 7

Note: - Our Main Motto is to bring variable to one side of the equation and find the value

(i) x + 3 = 11

Taking 3 to right side of equation,

⇒ x = 11 - 3 = 8

x = 8

(ii) y - 9 = 21

Taking 9 to the right side of equation,

⇒ y = 21 + 9 = 30

y = 30

(iii) 10 = z + 3

Bring 3 to left side of equation,

⇒ z = 10 - 3 = 7

z = 7

(iv)

⇒

(v) 10x = 30

Take 10 to right hand side of the equation,

⇒

x = 3

(vi)

Take 7 to right hand side of equation,

⇒ s = 7 × 4

s = 28

(vii)

⇒

Taking 2 to right side of equation,

⇒ x = 10 × 2

x = 20

(viii)

Take 1.5 to left side of equation,

⇒ x = 1.6 × 1.5

x = 2.4

(ix) 8x – 8 = 48

⇒ 8x = 48 + 8

⇒8x = 56

⇒ x = (56/8) = 7

x = 7

(x)

⇒

⇒

⇒ x = - 8/5

(xi)

⇒ x = 5 × 12 = 60

x = 60

(xii)

⇒ 3x = 15 × 5

⇒ x = (15 × 5)/3

⇒ x = 5 × 5 = 25

x = 25

(xiii) 3(x + 6) = 24

⇒

⇒ x + 6 = 8

⇒ x = 8 - 6 = 2

x = 2

(xiv)

⇒ x = 9 × 4 = 36

x = 36

(xv) 3(x + 2) – 2(x – 1) = 7

Expanding the expressing we get,

3x + 6 - 2x + 2 = 7

Place Variable in one side and numbers in the other side of equation,

⇒ 3x - 2x = 7 - 6 - 2

⇒ x = - 1

x = - 1