Question

a) 4(x+5)+3(x+5)=21
b) 8(x-1)=8-4(2x-3)
c) 2(x+5)-3(5-x)=10
d) 4x-1=3(x-1)
e) 3(x-20=2x-4
f) 7(x-4)=2x-3

Answer 1

a) 4(x+5)+3(x+5)=21
4x + 20 + 3x + 15 = 21
4x + 3x = 21 - 20 - 15
7x = 21 - 35
7x = -14
x = - 14/7
x = - 2

S[- 2]


b) 8(x-1)=8-4(2x-3)
8x - 8 = 8 - 8x + 12
8x + 8x = 8 + 12+ 8
16x = 28
x = 28  ÷ 4
     16  ÷ 4

x = 7/4

S[7/4]


c) 2(x+5)-3(5-x)=10
2x + 10 - 15 + 3x = 10
2x + 3x = 10 + 15 - 10
5x = 25 - 10
5x= 15
x = 15/5
x = 3

S[3]


d) 4x-1=3(x-1)
4x - 1 = 3x - 3
4x - 3x = - 3 + 1
x = - 2

S[- 2]


e) 3(x-20)=2x-4
3x - 60 = 2x - 4
3x - 2x = - 4 + 60
x =  56

S[56]


f) 7(x-4)=2x-3
7x - 28 = 2x - 3
7x - 2x = - 3 + 28
5x = + 25
x = 25/5
x = 5

S[5]