What is the answer to 1/4 a-2/5 = 3/4-2/3 a ?

The answer to 1/4 a-2/5 = 3/4-2/3 a is a= 69/55

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1/4 a-2/5 = 3/4-2/3 a

\frac{1}{4} a - \frac{2}{5} = \frac{3}{4} - \frac{2}{3} a

a = \frac{69}{55}

Decimal Notation

a = 1.25454 \dots

Solution steps

\frac{1}{4} a - \frac{2}{5} = \frac{3}{4} - \frac{2}{3} a

Move

\frac{2}{5}

to the right side

\frac{1}{4} a = \frac{23}{20} - \frac{2}{3} a

Move

\frac{2}{3} a

to the left side

\frac{11}{12} a = \frac{23}{20}

Multiply both sides by

12

11 a = \frac{69}{5}

Divide both sides by

11

a = \frac{69}{55}

3 x + 1 - (x - 4) - [2 (x - 3) - 3 (1 - 2 x)] = - (x + 2)

2 x + 3 (5 + x) = 5 x + 15

14 y - 8 = 13

4 - \frac{7 - x}{12} = \frac{5 x}{3} - \frac{5 - 3 x}{4}

\frac{5 n - 3}{4} = \frac{n}{5} + \frac{3}{20}

What is the answer to 1/4 a-2/5 = 3/4-2/3 a ?
The answer to 1/4 a-2/5 = 3/4-2/3 a is a= 69/55
Solve for a: 1/4 a-2/5 = 3/4-2/3 a
The solution is a= 69/55