What is the answer to 4/3 (-23/8 a+25/6)= 29/8 (4/3 a-1) ?

The answer to 4/3 (-23/8 a+25/6)= 29/8 (4/3 a-1) is a= 661/624

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4/3 (-23/8 a+25/6)= 29/8 (4/3 a-1)

\frac{4}{3} (- \frac{23}{8} a + \frac{25}{6}) = \frac{29}{8} (\frac{4}{3} a - 1)

a = \frac{661}{624}

Decimal Notation

a = 1.05929 \dots

Solution steps

\frac{4}{3} (- \frac{23}{8} a + \frac{25}{6}) = \frac{29}{8} (\frac{4}{3} a - 1)

Expand

\frac{4}{3} (- \frac{23}{8} a + \frac{25}{6}) : - \frac{23 a}{6} + \frac{50}{9}

Expand

\frac{29}{8} (\frac{4}{3} a - 1) : \frac{29 a}{6} - \frac{29}{8}

- \frac{23 a}{6} + \frac{50}{9} = \frac{29 a}{6} - \frac{29}{8}

Move

\frac{29 a}{6}

to the left side

- \frac{26 a}{3} + \frac{50}{9} = - \frac{29}{8}

Move

\frac{50}{9}

to the right side

- \frac{26 a}{3} = - \frac{661}{72}

Multiply both sides by

3

- 26 a = - \frac{661}{24}

Divide both sides by

- 26

a = \frac{661}{624}

x, 3 x + 3 y = 21

\frac{4 ( x + 1 )}{2} + x - \frac{x + 3}{3} = 5 + 3 (x - 2)

2 (4 x - 2) = 8 (x - 7)

u, \frac{u}{p} + \frac{u}{q} = m

x, 3 x + 3 y = 9

What is the answer to 4/3 (-23/8 a+25/6)= 29/8 (4/3 a-1) ?
The answer to 4/3 (-23/8 a+25/6)= 29/8 (4/3 a-1) is a= 661/624
Solve for a: 4/3 (-23/8 a+25/6)= 29/8 (4/3 a-1)
The solution is a= 661/624