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{y ^{- 2}}{x ^{- 2} - y ^{- 2}}

\frac{x - 3}{4} = \frac{5}{14} - \frac{x + 5}{7}

3 x < - 9

3 - 7 x < - 53

∣ 8 x + 1 ∣ - 9 = - 5