5(a-3)+3(2+3a)=19

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Solution for 5(a-3)+3(2+3a)=19 equation:


Simplifying
5(a + -3) + 3(2 + 3a) = 19

Reorder the terms:
5(-3 + a) + 3(2 + 3a) = 19
(-3 * 5 + a * 5) + 3(2 + 3a) = 19
(-15 + 5a) + 3(2 + 3a) = 19
-15 + 5a + (2 * 3 + 3a * 3) = 19
-15 + 5a + (6 + 9a) = 19

Reorder the terms:
-15 + 6 + 5a + 9a = 19

Combine like terms: -15 + 6 = -9
-9 + 5a + 9a = 19

Combine like terms: 5a + 9a = 14a
-9 + 14a = 19

Solving
-9 + 14a = 19

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 14a = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 14a = 19 + 9
14a = 19 + 9

Combine like terms: 19 + 9 = 28
14a = 28

Divide each side by '14'.
a = 2

Simplifying
a = 2

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