What is the answer to x+(x+5)/8 =(x+5)/(16) ?

The answer to x+(x+5)/8 =(x+5)/(16) is x=-5/17

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x+(x+5)/8 =(x+5)/(16)

x + \frac{x + 5}{8} = \frac{x + 5}{16}

x = - \frac{5}{17}

Decimal Notation

x = - 0.29411 \dots

Solution steps

x + \frac{x + 5}{8} = \frac{x + 5}{16}

Multiply by LCM

16 x + 2 (x + 5) = x + 5

Expand

2 (x + 5) : 2 x + 10

16 x + 2 x + 10 = x + 5

Add similar elements:

16 x + 2 x = 18 x

18 x + 10 = x + 5

Move

10

to the right side

18 x = x - 5

Move

x

to the left side

17 x = - 5

Divide both sides by

17

x = - \frac{5}{17}

lo g_{9} (4 z + 10 t)

2 x + 31 = 7 x - 24

\frac{4 t - 7}{- 3} \leq 5

5 k + 4 \geq 6 k - 5

50 = 50 + 2 x - 0.0625 x^{2}

What is the answer to x+(x+5)/8 =(x+5)/(16) ?
The answer to x+(x+5)/8 =(x+5)/(16) is x=-5/17
Solve for x: x+(x+5)/8 =(x+5)/(16)
The solution is x=-5/17