What is the answer to (3-x)/8 =(5-x)/6 ?

The answer to (3-x)/8 =(5-x)/6 is x=11

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(3-x)/8 =(5-x)/6

\frac{3 - x}{8} = \frac{5 - x}{6}

x = 11

Solution steps

\frac{3 - x}{8} = \frac{5 - x}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 - x) \cdot 6 = 8 (5 - x)

Expand

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

Expand

8 (5 - x) : 40 - 8 x

18 - 6 x = 40 - 8 x

Move

18

to the right side

- 6 x = - 8 x + 22

Move

8 x

to the left side

2 x = 22

Divide both sides by

2

x = 11

\frac{5 x}{6} - \frac{7}{4} + \frac{2 x}{3} = 3 x - \frac{5}{12} + \frac{x}{3}

x, 9 x - 2 y = - 6

(155 \cdot + 30) - (70 \cdot + 50) + f = 0

- \frac{n}{16} = 2

2 x + 0.03 + 0.3 + 0.4 + x = 1