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

The answer to (x-1)/2 =(3-2x)/3 is x= 9/7

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

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

x = \frac{9}{7}

Decimal Notation

x = 1.28571 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 1) \cdot 3 : 3 x - 3

Expand

2 (3 - 2 x) : 6 - 4 x

3 x - 3 = 6 - 4 x

Move

3

to the right side

3 x = - 4 x + 9

Move

4 x

to the left side

7 x = 9

Divide both sides by

7

x = \frac{9}{7}

3 + 2 x - 6 x = - 12 + 4

y = lo g_{5} (125)

9 (x + 1) - (x + 2) = 79

\frac{11 x}{8} + \frac{9 x}{18} = \frac{10}{3}

x, 5 (x - y) = 3 x + 2 y

What is the answer to (x-1)/2 =(3-2x)/3 ?
The answer to (x-1)/2 =(3-2x)/3 is x= 9/7
Solve for x: (x-1)/2 =(3-2x)/3
The solution is x= 9/7