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

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

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

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

x = - 1

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

3 (3 x - 1) : 9 x - 3

8 x - 4 = 9 x - 3

Move

4

to the right side

8 x = 9 x + 1

Move

9 x

to the left side

- x = 1

Divide both sides by

- 1

x = - 1

x + x + 5 = 11

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

3 x - 3 + 6 x - 10 = - 5 x - 8 + 12 x + 9

8 x = x + 35

9 = \frac{n}{7}

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