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

The answer to 1-(2x-1)/2 =(x+2)/5 is x= 11/12

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

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

x = \frac{11}{12}

Decimal Notation

x = 0.91666 \dots

Solution steps

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

Multiply by LCM

10 - 5 (2 x - 1) = 2 (x + 2)

Expand

10 - 5 (2 x - 1) : - 10 x + 15

Expand

2 (x + 2) : 2 x + 4

- 10 x + 15 = 2 x + 4

Move

15

to the right side

- 10 x = 2 x - 11

Move

2 x

to the left side

- 12 x = - 11

Divide both sides by

- 12

x = \frac{11}{12}

\frac{- 40}{5}

x^{3} - x^{2} - 7 x + 3

2 4^{\frac{- 2}{3}}

∣ a - 5 ∣ = 5 - a

\frac{x ^{2}}{2} - \frac{3 x}{20} = \frac{1}{5}

What is the answer to 1-(2x-1)/2 =(x+2)/5 ?
The answer to 1-(2x-1)/2 =(x+2)/5 is x= 11/12
Solve for x: 1-(2x-1)/2 =(x+2)/5
The solution is x= 11/12