What is the answer to 2x-1= 3/2 (x+2) ?

The answer to 2x-1= 3/2 (x+2) is x=8

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2x-1= 3/2 (x+2)

2 x - 1 = \frac{3}{2} (x + 2)

x = 8

Solution steps

2 x - 1 = \frac{3}{2} (x + 2)

Expand

\frac{3}{2} (x + 2) : \frac{3}{2} x + 3

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

Move

1

to the right side

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

Move

\frac{3}{2} x

to the left side

\frac{1}{2} x = 4

Multiply both sides by

2

x = 8

- 8 = - 3 + y

(\frac{1}{2} x^{- \frac{1}{2}})^{2}

\frac{3}{4} x^{2} - \frac{1}{3} x + \frac{3}{2} = 0

x^{2} + 16 x + 63