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

The answer to (7x-5)/3 =(2x+7)/2 is x= 31/8

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

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

x = \frac{31}{8}

Decimal Notation

x = 3.875

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(7 x - 5) \cdot 2 : 14 x - 10

Expand

3 (2 x + 7) : 6 x + 21

14 x - 10 = 6 x + 21

Move

10

to the right side

14 x = 6 x + 31

Move

6 x

to the left side

8 x = 31

Divide both sides by

8

x = \frac{31}{8}

\frac{n}{- 7} = 3

y + 5 = - 12

5 (4 x - 7) - 2 (3 x - 1) = 9

x, - 2 x + 4 y - 6 = 0

4 n + 5 = 6 n + 7

What is the answer to (7x-5)/3 =(2x+7)/2 ?
The answer to (7x-5)/3 =(2x+7)/2 is x= 31/8
Solve for x: (7x-5)/3 =(2x+7)/2
The solution is x= 31/8