What is the answer to 3/2 x-3= 5/4 x+1 ?

The answer to 3/2 x-3= 5/4 x+1 is x=16

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3/2 x-3= 5/4 x+1

\frac{3}{2} x - 3 = \frac{5}{4} x + 1

x = 16

Solution steps

\frac{3}{2} x - 3 = \frac{5}{4} x + 1

Move

3

to the right side

\frac{3}{2} x = \frac{5}{4} x + 4

Move

\frac{5}{4} x

to the left side

\frac{1}{4} x = 4

Multiply both sides by

4

x = 16

5 x + 14 - 2 x = 9 x - (4 x + 2)

x, 3 x - 5 y - 3 = 0

\frac{3 x - 5}{6} = 5 x - \frac{4}{7}

15 x = - 27 + 6 x

5 (2 x + 3) = 10 x + 14