What is the answer to (4a+3)/5 =(3a}{10}-\frac{a+6)/2 ?

The answer to (4a+3)/5 =(3a}{10}-\frac{a+6)/2 is a=-18/5

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(4a+3)/5 =(3a}{10}-\frac{a+6)/2

\frac{4 a + 3}{5} = \frac{3 a}{10} - \frac{a + 6}{2}

a = - \frac{18}{5}

Decimal Notation

a = - 3.6

Solution steps

\frac{4 a + 3}{5} = \frac{3 a}{10} - \frac{a + 6}{2}

Multiply by LCM

2 (4 a + 3) = 3 a - 5 (a + 6)

Expand

- 5 (a + 6) : - 5 a - 30

8 a + 6 = 3 a - 5 a - 30

Add similar elements:

3 a - 5 a = - 2 a

8 a + 6 = - 2 a - 30

Expand

2 (4 a + 3) : 8 a + 6

8 a + 6 = - 2 a - 30

Move

6

to the right side

8 a = - 2 a - 36

Move

2 a

to the left side

10 a = - 36

Divide both sides by

10

a = - \frac{18}{5}

6 - t = 2 t

4 x + 8 = 16

\frac{( 7 x - \frac{1}{3} )}{- 4} \geq \frac{3}{2}

∣ 2 x - 1 ∣ + x < 1

4 x^{2} = 35 x + 9

What is the answer to (4a+3)/5 =(3a}{10}-\frac{a+6)/2 ?
The answer to (4a+3)/5 =(3a}{10}-\frac{a+6)/2 is a=-18/5
Solve for a: (4a+3)/5 =(3a}{10}-\frac{a+6)/2
The solution is a=-18/5