What is the answer to (2x-1)/5 =5+(2-x)/2 ?

The answer to (2x-1)/5 =5+(2-x)/2 is x= 62/9

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(2x-1)/5 =5+(2-x)/2

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

x = \frac{62}{9}

Decimal Notation

x = 6.88888 \dots

Solution steps

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

Multiply by LCM

2 (2 x - 1) = 50 + 5 (- x + 2)

Expand

2 (2 x - 1) : 4 x - 2

Expand

50 + 5 (- x + 2) : - 5 x + 60

4 x - 2 = - 5 x + 60

Move

2

to the right side

4 x = - 5 x + 62

Move

5 x

to the left side

9 x = 62

Divide both sides by

9

x = \frac{62}{9}

x, 3 x - 5 y = 13

x, 3 x - 5 y = 17

\frac{1}{3} (18 + 12 x) = 22

x, - x + 4 y = - 9

\frac{1}{3} (x - 1) = 4

What is the answer to (2x-1)/5 =5+(2-x)/2 ?
The answer to (2x-1)/5 =5+(2-x)/2 is x= 62/9
Solve for x: (2x-1)/5 =5+(2-x)/2
The solution is x= 62/9