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

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

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

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

x = 5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x - 7) \cdot 3 : 9 x - 21

Expand

2 (x + 7) : 2 x + 14

9 x - 21 = 2 x + 14

Move

21

to the right side

9 x = 2 x + 35

Move

2 x

to the left side

7 x = 35

Divide both sides by

7

x = 5

(\frac{2}{7})^{- 2}

x^{2} - 14 x = - 29

(u - 14) (u + 10) = - 104

\frac{1}{2} - \frac{3}{2} i

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