What is the answer to (3x+1)/5 =(x+2)/2 ?

The answer to (3x+1)/5 =(x+2)/2 is x=8

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(3x+1)/5 =(x+2)/2

\frac{3 x + 1}{5} = \frac{x + 2}{2}

x = 8

Solution steps

\frac{3 x + 1}{5} = \frac{x + 2}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x + 1) \cdot 2 = 5 (x + 2)

Expand

(3 x + 1) \cdot 2 : 6 x + 2

Expand

5 (x + 2) : 5 x + 10

6 x + 2 = 5 x + 10

Move

2

to the right side

6 x = 5 x + 8

Move

5 x

to the left side

x = 8

x, 2 x + 2 y = 38

\frac{1}{6} p + 8 = - \frac{1}{3} p + 14

- 7 x + 14 = 4 x - 19

6 (x - 2) - (x + 3) = 0

- 6 (- 8 x + 6) = 42 x + 30

What is the answer to (3x+1)/5 =(x+2)/2 ?
The answer to (3x+1)/5 =(x+2)/2 is x=8
Solve for x: (3x+1)/5 =(x+2)/2
The solution is x=8