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

The answer to (2x+1)/3 =(x+5)/2 is x=13

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

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

x = 13

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x + 1) \cdot 2 : 4 x + 2

Expand

3 (x + 5) : 3 x + 15

4 x + 2 = 3 x + 15

Move

2

to the right side

4 x = 3 x + 13

Move

3 x

to the left side

x = 13

2 v^{2} + 5 v + 3

x^{3} - 3 x^{2} + 6 x - 18

\frac{x}{\frac{x}{y}}

(- 8)^{\frac{2}{3}}

(8 a^{9})^{\frac{1}{3}}

What is the answer to (2x+1)/3 =(x+5)/2 ?
The answer to (2x+1)/3 =(x+5)/2 is x=13
Solve for x: (2x+1)/3 =(x+5)/2
The solution is x=13