What is the answer to (4x-3)/3 =(2x-1)/2 ?

The answer to (4x-3)/3 =(2x-1)/2 is x= 3/2

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(4x-3)/3 =(2x-1)/2

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

x = \frac{3}{2}

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(4 x - 3) \cdot 2 = 3 (2 x - 1)

Expand

(4 x - 3) \cdot 2 : 8 x - 6

Expand

3 (2 x - 1) : 6 x - 3

8 x - 6 = 6 x - 3

Move

6

to the right side

8 x = 6 x + 3

Move

6 x

to the left side

2 x = 3

Divide both sides by

2

x = \frac{3}{2}

15 x^{2} - 13 x + 2

x^{3} - x^{2} - 8 x + 12

0.64

\frac{1}{3} + \frac{5 x}{6} > - \frac{5 x}{6} - \frac{1}{3}

x^{2} - 14 x + 51 = 0

What is the answer to (4x-3)/3 =(2x-1)/2 ?
The answer to (4x-3)/3 =(2x-1)/2 is x= 3/2
Solve for x: (4x-3)/3 =(2x-1)/2
The solution is x= 3/2