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Verified Answer :

Simplify both sides of the equation

-5/2 x +3/4 x = -3/4

Combine like terms

(-5/2 x + 3/4 x )

-7/4 x = -3/4

-7/4 x = -3/4

Multiply both sides by 4/(-7)

(4/-7)(-7/4 x ) = (4/-7 ) ( -3/4 )

x = 3/7

TSO

\(-\frac{5}{2}x+\frac{3}{4}x=-\frac{3}{4}\\\\-\frac{5\times2}{2\times2}x + \frac{3}{4}x=-\frac{3}{4}\\\\\frac{-10}{4}x+\frac{3}{4}x=-\frac{3}{4}\\\\\frac{-10+3}{4}x=-\frac{3}{4}\\\\-\frac{7}{4}x=-\frac{3}{4}\\\\-\frac{7}{4}x \times -4 =-\frac{3}{4} \times -4\\\\7x = 3\\\\\boxed{\bf{x =\frac{3}{7}}}\)