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

The answer to 2x-2/5 = 2/3 (x+5) is x= 14/5

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

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

x = \frac{14}{5}

Decimal Notation

x = 2.8

Solution steps

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

Expand

\frac{2}{3} (x + 5) : \frac{2}{3} x + \frac{10}{3}

2 x - \frac{2}{5} = \frac{2}{3} x + \frac{10}{3}

Move

\frac{2}{5}

to the right side

2 x = \frac{56}{15} + \frac{2}{3} x

Move

\frac{2}{3} x

to the left side

\frac{4}{3} x = \frac{56}{15}

Multiply both sides by

3

4 x = \frac{56}{5}

Divide both sides by

4

x = \frac{14}{5}

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

\frac{5}{3} - \frac{3}{4}

r^{2} + 2 r + 3 = 0

63 + 9 y + 7 x + x y

What is the answer to 2x-2/5 = 2/3 (x+5) ?
The answer to 2x-2/5 = 2/3 (x+5) is x= 14/5
Solve for x: 2x-2/5 = 2/3 (x+5)
The solution is x= 14/5