# How do you solve 2/10=4/(a-3)?

Nov 5, 2017

$a = 23$

#### Explanation:

Multiplying both sides by $a - 3$,
$\frac{2}{10} \left(a - 3\right) = 4$

Distributing $\frac{2}{10}$,
$\frac{2}{10} a - \frac{6}{10} = 4$
$\frac{2}{10} a = 4 + \frac{6}{10}$
$\frac{2}{10} a = \frac{23}{5}$

Dividing both sides by $\frac{2}{10}$,
$a = 23$

Nov 5, 2017

23

#### Explanation:

$\frac{2}{10}$=$\frac{4}{a - 3}$

Multiply both sides by 10 to eliminate the fraction on the left portion

$2$=$\frac{40}{a - 3}$

Then Multiple both sides by a-3 to eliminate the fraction on the right portion

$2 \left(a - 3\right)$=40

Distribute 2

2a-6=40

Transpose -6 to the right side

2a=40+6

2a=46

a=23