What is the answer to (x-4)/5 =(x-2)/(3+5) ?

The answer to (x-4)/5 =(x-2)/(3+5) is x= 22/3

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(x-4)/5 =(x-2)/(3+5)

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

x = \frac{22}{3}

Decimal Notation

x = 7.33333 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 4) (3 + 5) = 5 (x - 2)

Simplify

8 (x - 4) = 5 (x - 2)

Expand

8 (x - 4) : 8 x - 32

Expand

5 (x - 2) : 5 x - 10

8 x - 32 = 5 x - 10

Move

32

to the right side

8 x = 5 x + 22

Move

5 x

to the left side

3 x = 22

Divide both sides by

3

x = \frac{22}{3}

x, 4 y = 5 x

x, 5 x + 3 y = 26

x = 1 \cdot \frac{1}{2}

5 (x - 4) + 30 = 4 (x + 6)

x, 2 x - 2 y - 3 = 0

What is the answer to (x-4)/5 =(x-2)/(3+5) ?
The answer to (x-4)/5 =(x-2)/(3+5) is x= 22/3
Solve for x: (x-4)/5 =(x-2)/(3+5)
The solution is x= 22/3