only steps don't need explanation 1 and 2
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1)5x+7/2=3x-14
5x+5=2x+20
-2x. = 2x
5x-2x+5=20
(5x-2x)+5=20
3x+5=20
3x+5=20
-5. -5
3x/3=15/3
x=5
2)3a-2)/3 + (2a+3)/2 – a = 7/6
((3a-2)2 + (2a+3)3 – 6a)/6 = 7/6
(6a – 4 + 6a + 9 – 6a)/6 = 7/6
(6a + 5)/6 = 7/6
6a + 5 = 7
6a = 7-5
6a = 2
a = 2/6
a = 1/3
verify:-
(3a-2)/3 + (2a+3)/2 = a + 7/6
(3(1/3)-2)/3 + (2(1/3) + 3)/2 = 1/3 + 7/6
(1-2)/3 + (2/3 + 3)/2 = (2+7)/6
-1/3 + (11/3)/2 = 9/6
-1/3 + 11/6 = 3/2
(-2+11)/6 = 3/2
9/6 = 3/2
3/2 = 3/2
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