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Answers
Step-by-step explanation:
Solution :-
(a)
Given that :
5 - 3 ( 5x + 2 ) = 4 ( 7 - 3x ) + 1
→ 5 - 15x - 6 = 28 - 12x + 1
→ - 15x - 1 = - 12x + 29
→ - 15x + 12x = 29 + 1
→ -3x = 30
→ x = 30 / -3
→ x = - 10
The vue of x = - 10
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(b)
Given that :
[ (6x+1) / 3 ] + 1 = ( x - 3 ) /6
→ ( 6x + 1 + 3) / 3 = ( x - 3 ) /6
→ ( 6x + 4 ) / 3 = ( x - 3) / 6
→ 6x + 4 = ( x - 3) / 2
→ 2 ( 6x + 4 ) = x - 3
→ 12x + 8 = x - 3
→ 12x - x = - 3 - 8
→ 11x = - 11
→ x = - 11/11
→ x = -1
The value of x = -1
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(c)
Given that :
(x+1)/(2x+3) = 3/8
On applying cross multiplication then
→ 8(x+1) = 3(2x+3)
→ 8x + 8 = 6x + 9
→ 8x - 6x = 9 - 8
→ 2x = 1
→ x = 1/2
The value of x = 1/2
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(d)
Given that :
0.3(6-x) = 0.4(x+8)
→ 1.8 - 0.3x = 0.4x + 3.2
→ -0.3x - 0.4x = 3.2 - 1.8
→ - 0.7x = 1.4
→ x = 1.4 / -0.7
→ x = (14/10)/(-7/10)
→ x = 14/-7
→ x = -2
The value of x = -2
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