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

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

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

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

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

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

Subtract

x

from both sides

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

Simplify

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x + 1) \cdot 2 = 5 x

Expand

(x + 1) \cdot 2 : 2 x + 2

2 x + 2 = 5 x

Move

2

to the right side

2 x = 5 x - 2

Move

5 x

to the left side

- 3 x = - 2

Divide both sides by

- 3

x = \frac{2}{3}

- x + 3 = x^{2} + 1

- 60 \cdot 4 \cdot 8 i \cdot (7 i)^{3}

\frac{x - 2}{x - 4} \leq 3

\frac{15 π}{180}

\frac{1 - 2 x}{15} = \frac{1}{5} - \frac{2 x - 3}{2}

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