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Sagot :
Multiply both sides of the equation by 12. Move the variables to the left-hand side and change its sign. Move the constant to the left-hand side and change its sign. Collect like terms. Add the numbers. Divide both sides of the equation by 12.
1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
12x= 57 + 20
12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416
1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
12x= 57 + 20
12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416
Best Approach would be by Multiply through by the LCM of the Denominators (2,3,4).
LCM = 12
12(½x) – (12)(5/3) = (12)(–½x) + (12)(19/4).
6x – 20 = –6x + 57
6x + 6x = 57 + 20
12x = 77
x = 77/12
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