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

The answer to (x+1)/2+1/3 =2x is x= 5/9

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

\frac{x + 1}{2} + \frac{1}{3} = 2 x

x = \frac{5}{9}

Decimal Notation

x = 0.55555 \dots

Solution steps

\frac{x + 1}{2} + \frac{1}{3} = 2 x

Move

\frac{1}{3}

to the right side

\frac{x + 1}{2} = 2 x - \frac{1}{3}

Multiply both sides by

2

x + 1 = 4 x - \frac{2}{3}

Move

1

to the right side

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

Move

4 x

to the left side

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

Divide both sides by

- 3

x = \frac{5}{9}

\frac{2 x - 8}{3} + 5 = 6 - \frac{3 x - 5}{4}

\frac{x}{4} + 62 = 58

x, x + 0.5 y = 1.5

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

x, x - 8 y = 8