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

The answer to 1/2 (x-1)=2-1/5 (x+2) is x=3

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

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

x = 3

Solution steps

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

Expand

\frac{1}{2} (x - 1) : \frac{1}{2} x - \frac{1}{2}

Expand

2 - \frac{1}{5} (x + 2) : \frac{8}{5} - \frac{1}{5} x

\frac{1}{2} x - \frac{1}{2} = \frac{8}{5} - \frac{1}{5} x

Move

\frac{1}{2}

to the right side

\frac{1}{2} x = \frac{21}{10} - \frac{1}{5} x

Move

\frac{1}{5} x

to the left side

\frac{7}{10} x = \frac{21}{10}

Multiply both sides by

10

7 x = 21

Divide both sides by

7

x = 3

\frac{x - 3}{18} = \frac{12}{9}

(- \frac{3}{6})^{2} (\frac{4}{3})^{2}

∣ 3 x + 5 ∣ + 2 < 1

∣ 3 x + 6 ∣ = - 9

x - x^{2} = 1 - 6 x^{2}

What is the answer to 1/2 (x-1)=2-1/5 (x+2) ?
The answer to 1/2 (x-1)=2-1/5 (x+2) is x=3
Solve for x: 1/2 (x-1)=2-1/5 (x+2)
The solution is x=3