What is the answer to 3/2 x-3=2x-7 ?

The answer to 3/2 x-3=2x-7 is x=8

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3/2 x-3=2x-7

\frac{3}{2} x - 3 = 2 x - 7

x = 8

Solution steps

\frac{3}{2} x - 3 = 2 x - 7

Move

3

to the right side

\frac{3}{2} x = 2 x - 4

Move

2 x

to the left side

- \frac{1}{2} x = - 4

Multiply both sides by

- 2

x = 8

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

3 x + 2 = 10 - 4 (x - 1)

3 = x + 8

27 x - 3 = 2 x + 4

12 x - 5 = 3 + 10 x