5a-2(4a+3)=9

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Solution for 5a-2(4a+3)=9 equation:


Simplifying
5a + -2(4a + 3) = 9

Reorder the terms:
5a + -2(3 + 4a) = 9
5a + (3 * -2 + 4a * -2) = 9
5a + (-6 + -8a) = 9

Reorder the terms:
-6 + 5a + -8a = 9

Combine like terms: 5a + -8a = -3a
-6 + -3a = 9

Solving
-6 + -3a = 9

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -3a = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -3a = 9 + 6
-3a = 9 + 6

Combine like terms: 9 + 6 = 15
-3a = 15

Divide each side by '-3'.
a = -5

Simplifying
a = -5

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