What is the answer to (3x-5)/2 =(2x+8)/5 ?

The answer to (3x-5)/2 =(2x+8)/5 is x= 41/11

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(3x-5)/2 =(2x+8)/5

\frac{3 x - 5}{2} = \frac{2 x + 8}{5}

x = \frac{41}{11}

Decimal Notation

x = 3.72727 \dots

Solution steps

\frac{3 x - 5}{2} = \frac{2 x + 8}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 5) \cdot 5 = 2 (2 x + 8)

Expand

(3 x - 5) \cdot 5 : 15 x - 25

Expand

2 (2 x + 8) : 4 x + 16

15 x - 25 = 4 x + 16

Move

25

to the right side

15 x = 4 x + 41

Move

4 x

to the left side

11 x = 41

Divide both sides by

11

x = \frac{41}{11}

A = (2 + i) (1 - 2 i)^{2}

x, 4 x + 20 y = - 60

x, 2 y = x + 5

\frac{1}{2} (n + 4) = 6

14 x - 7 = 63

What is the answer to (3x-5)/2 =(2x+8)/5 ?
The answer to (3x-5)/2 =(2x+8)/5 is x= 41/11
Solve for x: (3x-5)/2 =(2x+8)/5
The solution is x= 41/11