What is the answer to (x+1)/6+(x-3)/3 = 5/6 ?

The answer to (x+1)/6+(x-3)/3 = 5/6 is x= 10/3

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(x+1)/6+(x-3)/3 = 5/6

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

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

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

Multiply by LCM

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

Expand

x + 1 + 2 (x - 3) : 3 x - 5

3 x - 5 = 5

Move

5

to the right side

3 x = 10

Divide both sides by

3

x = \frac{10}{3}

∣ 4 x + 3 ∣ < 15

2 x^{2} + x > 1

x^{2} = 256

x^{2} = - 6 x - 18

0 = - 2 (x - 3)^{2} + 2

What is the answer to (x+1)/6+(x-3)/3 = 5/6 ?
The answer to (x+1)/6+(x-3)/3 = 5/6 is x= 10/3
Solve for x: (x+1)/6+(x-3)/3 = 5/6
The solution is x= 10/3