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}

7 (2 x - 3) - 4 (x + 5) = 8 (x - 1) + 3

x, y = \frac{1}{2} f

2 x - 5 + \frac{1}{3} = \frac{3 + 3 x}{2} - 1

x, 12 x - 4 y - 16 = 0

a (3 x - 4) + b (5 x - 7) = 2 a + 3 b

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