What is the answer to (3x-1)/5 =(x+6)/2 ?

The answer to (3x-1)/5 =(x+6)/2 is x=32

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(3x-1)/5 =(x+6)/2

\frac{3 x - 1}{5} = \frac{x + 6}{2}

x = 32

Solution steps

\frac{3 x - 1}{5} = \frac{x + 6}{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 + 6)

Expand

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

Expand

5 (x + 6) : 5 x + 30

6 x - 2 = 5 x + 30

Move

2

to the right side

6 x = 5 x + 32

Move

5 x

to the left side

x = 32

10 + 8 (2 x + 4) = 8 - x

\frac{8 ( 3 x - 2 )}{9} = \frac{13}{7}

- 6 x + 5 = 0

11 = \frac{1}{2} (9 x + 2)

6 + q = 1

What is the answer to (3x-1)/5 =(x+6)/2 ?
The answer to (3x-1)/5 =(x+6)/2 is x=32
Solve for x: (3x-1)/5 =(x+6)/2
The solution is x=32