What is the answer to (7x+1)/9 =(2x)/3 ?

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

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(7x+1)/9 =(2x)/3

\frac{7 x + 1}{9} = \frac{2 x}{3}

x = - 1

Solution steps

\frac{7 x + 1}{9} = \frac{2 x}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(7 x + 1) \cdot 3 = 9 \cdot 2 x

Simplify

(7 x + 1) \cdot 3 = 18 x

Expand

(7 x + 1) \cdot 3 : 21 x + 3

21 x + 3 = 18 x

Move

3

to the right side

21 x = 18 x - 3

Move

18 x

to the left side

3 x = - 3

Divide both sides by

3

x = - 1

\frac{3}{2} x + 5 = 14

- 3 x + 2 = - 4 x + 5

x, 3 x - 7 y = 4

2 x - 3 = 4 x - 7

\frac{x - 1}{2} + \frac{x + 1}{3} = (\frac{x}{3} + \frac{4 x + 1}{2}) + 1