What is the answer to (x+3)/4 =(x+5)/6 ?

The answer to (x+3)/4 =(x+5)/6 is x=1

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(x+3)/4 =(x+5)/6

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

x = 1

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 3) \cdot 6 = 4 (x + 5)

Expand

(x + 3) \cdot 6 : 6 x + 18

Expand

4 (x + 5) : 4 x + 20

6 x + 18 = 4 x + 20

Move

18

to the right side

6 x = 4 x + 2

Move

4 x

to the left side

2 x = 2

Divide both sides by

2

x = 1

- x + 3 - 3 x + 3 = 2 x - 1

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

x, 2 x + 6 y - 10 = 38

4 (x - 9) = 4 (9 + \frac{1}{3} x)

x, y = 7 f - 3