What is the answer to x/4 =(x+5)/8 ?

The answer to x/4 =(x+5)/8 is x=5

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x/4 =(x+5)/8

\frac{x}{4} = \frac{x + 5}{8}

x = 5

Solution steps

\frac{x}{4} = \frac{x + 5}{8}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

x \cdot 8 = 4 (x + 5)

Expand

4 (x + 5) : 4 x + 20

x \cdot 8 = 4 x + 20

Move

4 x

to the left side

4 x = 20

Divide both sides by

4

x = 5

\frac{1}{5 ^{9}} = 5

52 = \frac{7}{12} x + 3

x, 3 x + 5 y = 27

10 b - (4 b - 8) = 20

4 (x + 2) - 6 (x - 4) = x - 12