What is the answer to ((3a-2))/3+((2a+3))/2 =a+7/6 ?

The answer to ((3a-2))/3+((2a+3))/2 =a+7/6 is a= 1/3

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((3a-2))/3+((2a+3))/2 =a+7/6

\frac{( 3 a - 2 )}{3} + \frac{( 2 a + 3 )}{2} = a + \frac{7}{6}

a = \frac{1}{3}

Decimal Notation

a = 0.33333 \dots

Solution steps

\frac{( 3 a - 2 )}{3} + \frac{( 2 a + 3 )}{2} = a + \frac{7}{6}

\frac{3 a - 2}{3} + \frac{2 a + 3}{2} = a + \frac{7}{6}

Multiply by LCM

2 (3 a - 2) + 3 (2 a + 3) = 6 a + 7

Expand

2 (3 a - 2) + 3 (2 a + 3) : 12 a + 5

12 a + 5 = 6 a + 7

Move

5

to the right side

12 a = 6 a + 2

Move

6 a

to the left side

6 a = 2

Divide both sides by

6

a = \frac{1}{3}

x, 3 x_{2} y = 7

x, x + 7 y = c

\frac{3 ^{4} x}{3 ^{- 7}} = 3^{15}

x, (5 y - 21) + (6 x + 32) + 116 = 180

x, 8 x + 3 y = 174.07

What is the answer to ((3a-2))/3+((2a+3))/2 =a+7/6 ?
The answer to ((3a-2))/3+((2a+3))/2 =a+7/6 is a= 1/3
Solve for a: ((3a-2))/3+((2a+3))/2 =a+7/6
The solution is a= 1/3