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

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

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

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

x = 31

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x - 7) \cdot 3 : 6 x - 21

Expand

5 (x + 2) : 5 x + 10

6 x - 21 = 5 x + 10

Move

21

to the right side

6 x = 5 x + 31

Move

5 x

to the left side

x = 31

5 (a - 2) + 12 = 12 - (- 5)

\frac{4 x - 1}{3} = \frac{x - 4}{6} + \frac{3 x + 5}{4}

\frac{3 ( x - 1 )}{4} - \frac{2 ( x + 3 )}{3} = \frac{3 - x}{6}

- 3 x - 5 (- 3 x - 9) = - 51

x, (x - 3) (x + y) = x^{2} - 5 x + 6

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