What is the answer to 3(x-1)=2-2/5 (x+3) ?

The answer to 3(x-1)=2-2/5 (x+3) is x= 19/17

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3(x-1)=2-2/5 (x+3)

3 (x - 1) = 2 - \frac{2}{5} (x + 3)

x = \frac{19}{17}

Decimal Notation

x = 1.11764 \dots

Solution steps

3 (x - 1) = 2 - \frac{2}{5} (x + 3)

Expand

3 (x - 1) : 3 x - 3

Expand

2 - \frac{2}{5} (x + 3) : \frac{4}{5} - \frac{2}{5} x

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

Move

3

to the right side

3 x = \frac{19}{5} - \frac{2}{5} x

Move

\frac{2}{5} x

to the left side

\frac{17}{5} x = \frac{19}{5}

Multiply both sides by

5

17 x = 19

Divide both sides by

17

x = \frac{19}{17}

x, - 4 x + 6 y = 15

x, - 5 x - 3 y = 16

\frac{2 x - 1}{3} - \frac{6 x - 2}{5} = \frac{1}{3}

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

23 - z = 17

What is the answer to 3(x-1)=2-2/5 (x+3) ?
The answer to 3(x-1)=2-2/5 (x+3) is x= 19/17
Solve for x: 3(x-1)=2-2/5 (x+3)
The solution is x= 19/17