1.   Refresher 5(2x - 3) Solving Equations 2x + 5 = x + 10 x + 5 = 10
Remember:
1. We have previously solved simple equations like the one shown and we looked at the analogy of scales in which both sides are balanced.
2x + 5 = x + 10
x + 5 = 10
x = 5
2x + 5
x + 10
2. We have previously expanded single brackets as shown below.
5(2x - 3)
means 5 x (2x - 3) = 10x - 15
+ x + = +
+ x - = -
- x + = -
- x - = +
3. We are familiar with the rules for signs when multiplying.
Unlike signs give a negative 
Refresher
We now need to know that the same rules apply for division. 

2. Ex Q’s 2 Brackets Solving Equations 2(x + 1) = x + 5
Example Questions With Brackets
2(x + 1) = x + 5
Example Question 1: solve
3(x - 1) = 2(x + 7)
Example Question 2: solve
2x + 2 = x + 5
3x - 3 = 2x + 14
x + 2 = 5
x - 3 = 14
x = 3
x = 17
3(x - 2) - 2(x + 1) = 5
Example Question 3: solve
7(x - 2) - 4 = 2(x + 2)
Example Question 4: solve
3x x - 2 = 5
7x = 2x + 4
x - 8 = 5
7x = 2x + 4
Ex Q’s 2 Brackets
x = 13
5x = 4
5x = 22
x = 4.4

3. Questions 2 Solving Equations (a) 8(x + 1) = 2(x + 16)
Solve the following equations
(a) 8(x + 1) = 2(x + 16)
(b) 10(x + 1) = 7(x + 4)
(c) 6(x - 5) = 5(x - 4)
(d) 3(x + 2) = 2(x - 1)
(e) 7(x - 2) - 3 = 2(x + 2)
(f) 3(x + 1) + 2(x + 2) = 10
(g) 5(x - 3) + 3(x + 2) = 7x
(h) 2x - 3(x + 2) = 2x + 1
Questions 2

4. Worksheets Questions 1 Questions 2 (a) 6x + 8 = 2x - 12
(b) 5x - 4 = x
(c) 9 + 3x = x
(d) 3 - 7x = 7 + x
(e) 2x - 7 = x
(f) 9x + 25 = 5 + x
(g) 7x + 8 = x
(a) 8(x + 1) = 2(x + 16)
(c) 6(x - 5) = 5(x - 4)
(d) 3(x + 2) = 2(x - 1)
(b) 10(x + 1) = 7(x + 4)
(e) 7(x - 2) - 3 = 2(x + 2)
(f) 3(x + 1) + 2(x + 2) = 10
(g) 5(x - 3) + 3(x + 2) = 7x
(h) 2x - 3(x + 2) = 2x + 1
Questions 1
Questions 2
Worksheets