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

The answer to (3x)/2+(x-2)/3 =3 2/3 is x=2 4/11

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

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

x = 2 \frac{4}{11}

Decimal Notation

x = 2.36363 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{2}{3} = \frac{11}{3}

\frac{3 x}{2} + \frac{x - 2}{3} = \frac{11}{3}

Multiply by LCM

9 x + 2 (x - 2) = 22

Expand

2 (x - 2) : 2 x - 4

9 x + 2 x - 4 = 22

Add similar elements:

9 x + 2 x = 11 x

11 x - 4 = 22

Move

4

to the right side

11 x = 26

Divide both sides by

11

x = \frac{26}{11}

Convert improper fractions to mixed numbers:

\frac{26}{11} = 2 \frac{4}{11}

x = 2 \frac{4}{11}

x, y^{3} - 2 x y + 7 = 3 x + 1

lo g_{10} (987) = a

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

\frac{3 ( \frac{- 2 - ( - 6 )}{3} )}{8} (11 + 3 x + 5 x) = - 2.5

90 + 40 + x + 57 = 180

What is the answer to (3x)/2+(x-2)/3 =3 2/3 ?
The answer to (3x)/2+(x-2)/3 =3 2/3 is x=2 4/11
Solve for x: (3x)/2+(x-2)/3 =3 2/3
The solution is x=2 4/11