What is the answer to (-7x+6)/3 =(3x-5)/2 ?

The answer to (-7x+6)/3 =(3x-5)/2 is x= 27/23

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(-7x+6)/3 =(3x-5)/2

\frac{- 7 x + 6}{3} = \frac{3 x - 5}{2}

x = \frac{27}{23}

Decimal Notation

x = 1.17391 \dots

Solution steps

\frac{- 7 x + 6}{3} = \frac{3 x - 5}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(- 7 x + 6) \cdot 2 = 3 (3 x - 5)

Expand

(- 7 x + 6) \cdot 2 : - 14 x + 12

Expand

3 (3 x - 5) : 9 x - 15

- 14 x + 12 = 9 x - 15

Move

12

to the right side

- 14 x = 9 x - 27

Move

9 x

to the left side

- 23 x = - 27

Divide both sides by

- 23

x = \frac{27}{23}

y, p y + 7 = 6 y + q

x, (y + 1)^{2} = - 8 (x - 2) y

\frac{4 x + 3}{3} = \frac{x + 7}{2}

x, y - \frac{9}{e ^{2}} = - \frac{3}{e ^{2}} (x - 3)

92 x + 1 = 93 x - 2

What is the answer to (-7x+6)/3 =(3x-5)/2 ?
The answer to (-7x+6)/3 =(3x-5)/2 is x= 27/23
Solve for x: (-7x+6)/3 =(3x-5)/2
The solution is x= 27/23