What is the answer to (x-2)/4+(2x-6)/5 =(3-x)/2 ?

The answer to (x-2)/4+(2x-6)/5 =(3-x)/2 is x= 64/23

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(x-2)/4+(2x-6)/5 =(3-x)/2

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

x = \frac{64}{23}

Decimal Notation

x = 2.78260 \dots

Solution steps

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

Multiply by LCM

5 (x - 2) + 4 (2 x - 6) = 10 (- x + 3)

Expand

5 (x - 2) + 4 (2 x - 6) : 13 x - 34

Expand

10 (- x + 3) : - 10 x + 30

13 x - 34 = - 10 x + 30

Move

34

to the right side

13 x = - 10 x + 64

Move

10 x

to the left side

23 x = 64

Divide both sides by

23

x = \frac{64}{23}

y, y x^{2} - 4 = x

y, y - 2 x = 3

y, y - 2 x = 4

u, 3 x - 2 y - z - u = - 6

a, h = \frac{a}{3}

What is the answer to (x-2)/4+(2x-6)/5 =(3-x)/2 ?
The answer to (x-2)/4+(2x-6)/5 =(3-x)/2 is x= 64/23
Solve for x: (x-2)/4+(2x-6)/5 =(3-x)/2
The solution is x= 64/23