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

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

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

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

x = 3

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

2 (x + 3) : 2 x + 6

3 x + 3 = 2 x + 6

Move

3

to the right side

3 x = 2 x + 3

Move

2 x

to the left side

x = 3

(\frac{1}{4})^{- 4}

\frac{1}{13}

(x + 3)^{2} = 23

\frac{- 5}{3 ^{2}}

\frac{2}{5} x + \frac{2}{5} = \frac{5}{6}

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