What is the answer to (3a)/(10)+3/5 = a/(25)+1/2 ?

The answer to (3a)/(10)+3/5 = a/(25)+1/2 is a=-5/13

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(3a)/(10)+3/5 = a/(25)+1/2

\frac{3 a}{10} + \frac{3}{5} = \frac{a}{25} + \frac{1}{2}

a = - \frac{5}{13}

Decimal Notation

a = - 0.38461 \dots

Solution steps

\frac{3 a}{10} + \frac{3}{5} = \frac{a}{25} + \frac{1}{2}

Move

\frac{a}{25}

to the left side

\frac{3}{5} + \frac{13 a}{50} = \frac{1}{2}

Move

\frac{3}{5}

to the right side

\frac{13 a}{50} = - \frac{1}{10}

Multiply both sides by

50

13 a = - 5

Divide both sides by

13

a = - \frac{5}{13}

\frac{9}{4} z + \frac{1}{2} = 2

0. 1^{2}

3 (x - 4) = 4 - 2 x + 7

\frac{x}{x - 5} \geq \frac{1}{4}

What is the answer to (3a)/(10)+3/5 = a/(25)+1/2 ?
The answer to (3a)/(10)+3/5 = a/(25)+1/2 is a=-5/13
Solve for a: (3a)/(10)+3/5 = a/(25)+1/2
The solution is a=-5/13