What is the answer to (2x+1)/3+(3x)/2 =(4x+2)/3 ?

The answer to (2x+1)/3+(3x)/2 =(4x+2)/3 is x= 2/5

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(2x+1)/3+(3x)/2 =(4x+2)/3

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

x = \frac{2}{5}

Decimal Notation

x = 0.4

Solution steps

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

Multiply by LCM

2 (2 x + 1) + 9 x = 2 (4 x + 2)

Expand

2 (2 x + 1) + 9 x : 13 x + 2

Expand

2 (4 x + 2) : 8 x + 4

13 x + 2 = 8 x + 4

Move

2

to the right side

13 x = 8 x + 2

Move

8 x

to the left side

5 x = 2

Divide both sides by

5

x = \frac{2}{5}

x, 2 x + 4 y - 4 = 0

(x - 15) + (x + 3) = 90

y, x = - 2 y + 8

3 + x = 14 - 1

x, 3 x + 5 y = - 10

What is the answer to (2x+1)/3+(3x)/2 =(4x+2)/3 ?
The answer to (2x+1)/3+(3x)/2 =(4x+2)/3 is x= 2/5
Solve for x: (2x+1)/3+(3x)/2 =(4x+2)/3
The solution is x= 2/5