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2

4
​
(5+4a)
=
2+3a

2 ·
2
4
​
(5+4a)
=
2 · (2+3a)

4(5+4a)
=
4 + 6a

20 + 16a
=
4 + 6a
−
6a
−
6a

20+10a
=
4

a
=

1 answer

To solve for \( a \) in the equation \( 20 + 10a = 4 \), we will first isolate \( a \).

Starting from the equation:

\[ 20 + 10a = 4 \]

  1. Subtract 20 from both sides:

\[ 10a = 4 - 20 \]

  1. Simplify the right side:

\[ 10a = -16 \]

  1. Now, divide both sides by 10 to solve for \( a \):

\[ a = \frac{-16}{10} \]

  1. Simplify the fraction:

\[ a = -\frac{8}{5} \]

Therefore, the solution is:

\[ \boxed{-\frac{8}{5}} \]